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135132140311616 = 2671931562871719
BaseRepresentation
bin11110101110011011100111…
…001110001001010001000000
3122201110111200012102202101102
4132232123213032021101000
5120203001110404432431
61155222503115553532
740314655260451550
oct3656334716112100
9581414605382342
10135132140311616
113a06a245355698
12131a562045b8a8
135a52ba1a84446
142552605391160
15109516c9a9dcb
hex7ae6e7389440

135132140311616 has 56 divisors (see below), whose sum is σ = 308048267498880. Its totient is φ = 57613703012352.

The previous prime is 135132140311601. The next prime is 135132140311669. The reversal of 135132140311616 is 616113041231531.

It is a tau number, because it is divible by the number of its divisors (56).

It is a self number, because there is not a number n which added to its sum of digits gives 135132140311616.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 781349396 + ... + 781522323.

Almost surely, 2135132140311616 is an apocalyptic number.

135132140311616 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

135132140311616 is an abundant number, since it is smaller than the sum of its proper divisors (172916127187264).

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

135132140311616 is a wasteful number, since it uses less digits than its factorization.

135132140311616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1562871931 (or 1562871921 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 38.

The spelling of 135132140311616 in words is "one hundred thirty-five trillion, one hundred thirty-two billion, one hundred forty million, three hundred eleven thousand, six hundred sixteen".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 193 224 386 448 772 1351 1544 2702 3088 5404 6176 10808 12352 21616 43232 86464 1562871719 3125743438 6251486876 10940102033 12502973752 21880204066 25005947504 43760408132 50011895008 87520816264 100023790016 175041632528 301634241767 350083265056 603268483534 700166530112 1206536967068 2111439692369 2413073934136 4222879384738 4826147868272 8445758769476 9652295736544 16891517538952 19304591473088 33783035077904 67566070155808 135132140311616