137700512 has 48 divisors (see below), whose sum is σ = 282304512. Its totient is φ = 66044160.

The previous prime is 137700487. The next prime is 137700523. The reversal of 137700512 is 215007731.

It is a super-2 number, since 2×137700512² = 37922862010124288, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 125438 + ... + 126530.

It is an arithmetic number, because the mean of its divisors is an integer number (5881344).

Almost surely, 2^137700512 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 137700512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141152256).

137700512 is an abundant number, since it is smaller than the sum of its proper divisors (144604000).

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

137700512 is a wasteful number, since it uses less digits than its factorization.

137700512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1261 (or 1253 counting only the distinct ones).

The product of its (nonzero) digits is 1470, while the sum is 26.

The square root of 137700512 is about 11734.5861452375. The cubic root of 137700512 is about 516.3908262359.

The spelling of 137700512 in words is "one hundred thirty-seven million, seven hundred thousand, five hundred twelve".