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135748332 = 223317107691
BaseRepresentation
bin10000001011101…
…01101011101100
3100110102201201000
420011311223230
5234222421312
621245320300
73235561506
oct1005655354
9313381630
10135748332
116a698805
1239566090
132217c075
1414058d76
15bdb6adc
hex8175aec

135748332 has 96 divisors (see below), whose sum is σ = 376669440. Its totient is φ = 42128640.

The previous prime is 135748313. The next prime is 135748367. The reversal of 135748332 is 233847531.

135748332 is a `hidden beast` number, since 1 + 3 + 574 + 83 + 3 + 2 = 666.

135748332 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 196107 + ... + 196797.

It is an arithmetic number, because the mean of its divisors is an integer number (3923640).

Almost surely, 2135748332 is an apocalyptic number.

135748332 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 135748332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188334720).

135748332 is an abundant number, since it is smaller than the sum of its proper divisors (240921108).

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

135748332 is a wasteful number, since it uses less digits than its factorization.

135748332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 828 (or 820 counting only the distinct ones).

The product of its digits is 60480, while the sum is 36.

The square root of 135748332 is about 11651.1086167798. The cubic root of 135748332 is about 513.9389118254.

The spelling of 135748332 in words is "one hundred thirty-five million, seven hundred forty-eight thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 102 107 108 153 204 214 306 321 428 459 612 642 691 918 963 1284 1382 1819 1836 1926 2073 2764 2889 3638 3852 4146 5457 5778 6219 7276 8292 10914 11556 11747 12438 16371 18657 21828 23494 24876 32742 35241 37314 46988 49113 65484 70482 73937 74628 98226 105723 140964 147874 196452 211446 221811 295748 317169 422892 443622 634338 665433 887244 1256929 1268676 1330866 1996299 2513858 2661732 3770787 3992598 5027716 7541574 7985196 11312361 15083148 22624722 33937083 45249444 67874166 135748332