137917905129 has 9 divisors (see below), whose sum is σ = 199216361149. Its totient is φ = 91944527340.

The previous prime is 137917905121. The next prime is 137917905131. The reversal of 137917905129 is 921509719731.

The square root of 137917905129 is 371373.

It is a perfect power (a square), and thus also a powerful number.

137917905129 is a `hidden beast` number, since 1 + 37 + 9 + 1 + 7 + 90 + 512 + 9 = 666.

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 137917905129 - 2³ = 137917905121 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (137917905121) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1052224 + ... + 1176014.

Almost surely, 2^137917905129 is an apocalyptic number.

137917905129 is the 371373-rd square number.

137917905129 is the 185687-th centered octagonal number.

It is an amenable number.

137917905129 is a deficient number, since it is larger than the sum of its proper divisors (61298456020).

137917905129 is an frugal number, since it uses more digits than its factorization.

137917905129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247588 (or 123794 counting only the distinct ones).

The product of its (nonzero) digits is 1071630, while the sum is 54.

The spelling of 137917905129 in words is "one hundred thirty-seven billion, nine hundred seventeen million, nine hundred five thousand, one hundred twenty-nine".