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135044065332 = 2232112931379333
BaseRepresentation
bin111110111000101000…
…0001110100000110100
3110220120110020022110100
41331301100032200310
54203032240042312
6142012142554100
712520342421121
oct1756120164064
9426513208410
10135044065332
11522a9944070
1222209b98930
13c971bc1487
14677135b748
1537a5ac15dc
hex1f7140e834

135044065332 has 144 divisors (see below), whose sum is σ = 397663418880. Its totient is φ = 38236665600.

The previous prime is 135044065307. The next prime is 135044065399. The reversal of 135044065332 is 233560440531.

135044065332 is a `hidden beast` number, since 135 + 0 + 440 + 6 + 53 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 166338 + ... + 545670.

It is an arithmetic number, because the mean of its divisors is an integer number (2761551520).

Almost surely, 2135044065332 is an apocalyptic number.

135044065332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135044065332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198831709440).

135044065332 is an abundant number, since it is smaller than the sum of its proper divisors (262619353548).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

135044065332 is a wasteful number, since it uses less digits than its factorization.

135044065332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 379414 (or 379409 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 36.

The spelling of 135044065332 in words is "one hundred thirty-five billion, forty-four million, sixty-five thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 29 31 33 36 44 58 62 66 87 93 99 116 124 132 174 186 198 261 279 319 341 348 372 396 522 558 638 682 899 957 1023 1044 1116 1276 1364 1798 1914 2046 2697 2871 3069 3596 3828 4092 5394 5742 6138 8091 9889 10788 11484 12276 16182 19778 29667 32364 39556 59334 89001 118668 178002 356004 379333 758666 1137999 1517332 2275998 3413997 4172663 4551996 6827994 8345326 11000657 11759323 12517989 13655988 16690652 22001314 23518646 25035978 33001971 35277969 37553967 44002628 47037292 50071956 66003942 70555938 75107934 99005913 105833907 121007227 129352553 132007884 141111876 150215868 198011826 211667814 242014454 258705106 341020367 363021681 388057659 396023652 423335628 484028908 517410212 682040734 726043362 776115318 1023061101 1089065043 1164172977 1364081468 1452086724 1552230636 2046122202 2178130086 2328345954 3069183303 3751224037 4092244404 4356260172 4656691908 6138366606 7502448074 11253672111 12276733212 15004896148 22507344222 33761016333 45014688444 67522032666 135044065332