137925997209 has 480 divisors, whose sum is σ = 299982735360. Its totient is φ = 61138022400.

The previous prime is 137925997169. The next prime is 137925997213. The reversal of 137925997209 is 902799529731.

137925997209 is a `hidden beast` number, since 1 + 37 + 9 + 2 + 599 + 7 + 2 + 0 + 9 = 666.

It is not a de Polignac number, because 137925997209 - 2¹⁵ = 137925964441 is a prime.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (137925997219) by changing a digit.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 1421917449 + ... + 1421917545.

It is an arithmetic number, because the mean of its divisors is an integer number (624964032).

Almost surely, 2^137925997209 is an apocalyptic number.

137925997209 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

It is an amenable number.

137925997209 is an abundant number, since it is smaller than the sum of its proper divisors (162056738151).

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

137925997209 is a wasteful number, since it uses less digits than its factorization.

137925997209 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 19289340, while the sum is 63.

The spelling of 137925997209 in words is "one hundred thirty-seven billion, nine hundred twenty-five million, nine hundred ninety-seven thousand, two hundred nine".