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135468119176 = 231324717312323
BaseRepresentation
bin111111000101010000…
…1110111010010001000
3110221200000011110222021
41332022201313102020
54204414314303201
6142122211534224
712534012004525
oct1761241672210
9427600143867
10135468119176
11524a7248a95
1222307bba374
13ca0ba05400
1467b17c414c
1537cce36ea1
hex1f8a877488

135468119176 has 96 divisors (see below), whose sum is σ = 282542981760. Its totient is φ = 60834798336.

The previous prime is 135468119173. The next prime is 135468119183. The reversal of 135468119176 is 671911864531.

It is a happy number.

It is a super-2 number, since 2×1354681191762 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is not an unprimeable number, because it can be changed into a prime (135468119173) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10986951 + ... + 10999273.

It is an arithmetic number, because the mean of its divisors is an integer number (2943156060).

Almost surely, 2135468119176 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135468119176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141271490880).

135468119176 is an abundant number, since it is smaller than the sum of its proper divisors (147074862584).

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

135468119176 is a wasteful number, since it uses less digits than its factorization.

135468119176 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12575 (or 12558 counting only the distinct ones).

The product of its digits is 1088640, while the sum is 52.

The spelling of 135468119176 in words is "one hundred thirty-five billion, four hundred sixty-eight million, one hundred nineteen thousand, one hundred seventy-six".

Divisors: 1 2 4 8 13 26 47 52 94 104 169 173 188 338 346 376 611 676 692 1222 1352 1384 2249 2444 4498 4888 7943 8131 8996 12323 15886 16262 17992 24646 29237 31772 32524 49292 58474 63544 65048 98584 105703 116948 160199 211406 233896 320398 422812 579181 640796 845624 1158362 1281592 1374139 2082587 2131879 2316724 2748278 4165174 4263758 4633448 5496556 7529353 8330348 8527516 10993112 15058706 16660696 17055032 27714427 30117412 55428854 60234824 97881589 100198313 110857708 195763178 200396626 221715416 360287551 391526356 400793252 720575102 783052712 801586504 1302578069 1441150204 2605156138 2882300408 5210312276 10420624552 16933514897 33867029794 67734059588 135468119176