137238920 has 128 divisors (see below), whose sum is σ = 390700800. Its totient is φ = 42218496.

The previous prime is 137238911. The next prime is 137238947. The reversal of 137238920 is 29832731.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 134171 + ... + 135189.

It is an arithmetic number, because the mean of its divisors is an integer number (3052350).

Almost surely, 2^137238920 is an apocalyptic number.

137238920 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 137238920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195350400).

137238920 is an abundant number, since it is smaller than the sum of its proper divisors (253461880).

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

137238920 is a wasteful number, since it uses less digits than its factorization.

137238920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1087 (or 1083 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 35.

The square root of 137238920 is about 11714.9016214393. The cubic root of 137238920 is about 515.8131747587.

The spelling of 137238920 in words is "one hundred thirty-seven million, two hundred thirty-eight thousand, nine hundred twenty".