137907700 has 72 divisors (see below), whose sum is σ = 360046400. Its totient is φ = 44789760.

The previous prime is 137907697. The next prime is 137907703. The reversal of 137907700 is 7709731.

It is an interprime number because it is at equal distance from previous prime (137907697) and next prime (137907703).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137907703) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8116 + ... + 18484.

Almost surely, 2^137907700 is an apocalyptic number.

137907700 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 137907700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180023200).

137907700 is an abundant number, since it is smaller than the sum of its proper divisors (222138700).

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

137907700 is a wasteful number, since it uses less digits than its factorization.

137907700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10409 (or 10402 counting only the distinct ones).

The product of its (nonzero) digits is 9261, while the sum is 34.

The square root of 137907700 is about 11743.4109184683. The cubic root of 137907700 is about 516.6496884235.

The spelling of 137907700 in words is "one hundred thirty-seven million, nine hundred seven thousand, seven hundred".