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138157000815 = 35377310333107
BaseRepresentation
bin1000000010101011001…
…1001000100001101111
3111012121101202211011010
42000222303020201233
54230421143011230
6143245104000303
712660442062561
oct2005263104157
9435541684133
10138157000815
1153657030619
1222938600093
1310049ac8232
146988961331
1538d90229b0
hex202acc886f

138157000815 has 64 divisors (see below), whose sum is σ = 232376841216. Its totient is φ = 70021573632.

The previous prime is 138157000811. The next prime is 138157000831. The reversal of 138157000815 is 518000751831.

It is a happy number.

It is not a de Polignac number, because 138157000815 - 22 = 138157000811 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138157000811) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4156492 + ... + 4189598.

It is an arithmetic number, because the mean of its divisors is an integer number (3630888144).

Almost surely, 2138157000815 is an apocalyptic number.

138157000815 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

138157000815 is a deficient number, since it is larger than the sum of its proper divisors (94219840401).

138157000815 is a wasteful number, since it uses less digits than its factorization.

138157000815 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33328.

The product of its (nonzero) digits is 33600, while the sum is 39.

The spelling of 138157000815 in words is "one hundred thirty-eight billion, one hundred fifty-seven million, eight hundred fifteen", and thus it is an aban number.

Divisors: 1 3 5 15 37 73 103 111 185 219 309 365 515 555 1095 1545 2701 3811 7519 8103 11433 13505 19055 22557 33107 37595 40515 57165 99321 112785 165535 278203 496605 834609 1224959 1391015 2416811 3410021 3674877 4173045 6124795 7250433 10230063 12084055 17050105 18374385 36252165 51150315 89422007 126170777 248931533 268266021 378512331 447110035 630853885 746794599 1244657665 1341330105 1892561655 3733972995 9210466721 27631400163 46052333605 138157000815