137011022500 has 135 divisors (see below), whose sum is σ = 329819730933. Its totient is φ = 49748160000.

The previous prime is 137011022441. The next prime is 137011022567. The reversal of 137011022500 is 5220110731.

It is a happy number.

The square root of 137011022500 is 370150.

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

It can be written as a sum of positive squares in 7 ways, for example, as 123022756516 + 13988265984 = 350746^2 + 118272^2 .

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 203582164 + ... + 203582836.

Almost surely, 2^137011022500 is an apocalyptic number.

137011022500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

137011022500 is the 370150-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 137011022500

137011022500 is an abundant number, since it is smaller than the sum of its proper divisors (192808708433).

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

137011022500 is an frugal number, since it uses more digits than its factorization.

137011022500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1392 (or 691 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 22.

The spelling of 137011022500 in words is "one hundred thirty-seven billion, eleven million, twenty-two thousand, five hundred".