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135257949144 = 23341091914967
BaseRepresentation
bin111110111111000000…
…0001000001111011000
3110221010100200201220000
41331332000020033120
54204002013333034
6142045303133000
712525550412103
oct1757600101730
9427110621800
10135257949144
11523a964a14a
1222269744160
13c9a72ca046
14679191573a
1537b976e599
hex1f7e0083d8

135257949144 has 80 divisors (see below), whose sum is σ = 382323361200. Its totient is φ = 44672326848.

The previous prime is 135257949137. The next prime is 135257949163. The reversal of 135257949144 is 441949752531.

135257949144 is a `hidden beast` number, since 1 + 3 + 52 + 579 + 4 + 9 + 14 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 886852 + ... + 1028115.

It is an arithmetic number, because the mean of its divisors is an integer number (4779042015).

Almost surely, 2135257949144 is an apocalyptic number.

It is an amenable number.

135257949144 is an abundant number, since it is smaller than the sum of its proper divisors (247065412056).

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

135257949144 is a wasteful number, since it uses less digits than its factorization.

135257949144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1915094 (or 1915081 counting only the distinct ones).

The product of its digits is 5443200, while the sum is 54.

The spelling of 135257949144 in words is "one hundred thirty-five billion, two hundred fifty-seven million, nine hundred forty-nine thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 109 162 216 218 324 327 436 648 654 872 981 1308 1962 2616 2943 3924 5886 7848 8829 11772 17658 23544 35316 70632 1914967 3829934 5744901 7659868 11489802 15319736 17234703 22979604 34469406 45959208 51704109 68938812 103408218 137877624 155112327 206816436 208731403 310224654 413632872 417462806 620449308 626194209 834925612 1240898616 1252388418 1669851224 1878582627 2504776836 3757165254 5009553672 5635747881 7514330508 11271495762 15028661016 16907243643 22542991524 33814487286 45085983048 67628974572 135257949144