137912900 has 18 divisors (see below), whose sum is σ = 299271210. Its totient is φ = 55165120.

The previous prime is 137912897. The next prime is 137912903. The reversal of 137912900 is 9219731.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (137912897) and next prime (137912903).

It can be written as a sum of positive squares in 3 ways, for example, as 33709636 + 104203264 = 5806^2 + 10208^2 .

It is not an unprimeable number, because it can be changed into a prime (137912903) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 689465 + ... + 689664.

Almost surely, 2^137912900 is an apocalyptic number.

137912900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

137912900 is an abundant number, since it is smaller than the sum of its proper divisors (161358310).

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

137912900 is a wasteful number, since it uses less digits than its factorization.

137912900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1379143 (or 1379136 counting only the distinct ones).

The product of its (nonzero) digits is 3402, while the sum is 32.

The square root of 137912900 is about 11743.6323171325. The cubic root of 137912900 is about 516.6561820048.

The spelling of 137912900 in words is "one hundred thirty-seven million, nine hundred twelve thousand, nine hundred".