137937920 has 88 divisors (see below), whose sum is σ = 342667800. Its totient is φ = 53215232.

The previous prime is 137937913. The next prime is 137937971. The reversal of 137937920 is 29739731.

It can be written as a sum of positive squares in 4 ways, for example, as 16384 + 137921536 = 128^2 + 11744^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 148016 + ... + 148944.

Almost surely, 2^137937920 is an apocalyptic number.

137937920 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 137937920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171333900).

137937920 is an abundant number, since it is smaller than the sum of its proper divisors (204729880).

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

137937920 is an equidigital number, since it uses as much as digits as its factorization.

137937920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 983 (or 965 counting only the distinct ones).

The product of its (nonzero) digits is 71442, while the sum is 41.

The square root of 137937920 is about 11744.6975269694. The cubic root of 137937920 is about 516.6874238394.

The spelling of 137937920 in words is "one hundred thirty-seven million, nine hundred thirty-seven thousand, nine hundred twenty".