137914920 has 512 divisors, whose sum is σ = 580608000. Its totient is φ = 28615680.

The previous prime is 137914913. The next prime is 137914921. The reversal of 137914920 is 29419731.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (137914921) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2934337 + ... + 2934383.

It is an arithmetic number, because the mean of its divisors is an integer number (1134000).

Almost surely, 2^137914920 is an apocalyptic number.

137914920 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 137914920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290304000).

137914920 is an abundant number, since it is smaller than the sum of its proper divisors (442693080).

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

137914920 is a wasteful number, since it uses less digits than its factorization.

137914920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 137914920 is about 11743.7183208727. The cubic root of 137914920 is about 516.6587044674.

The spelling of 137914920 in words is "one hundred thirty-seven million, nine hundred fourteen thousand, nine hundred twenty".