137557920 has 96 divisors (see below), whose sum is σ = 436000320. Its totient is φ = 36454400.

The previous prime is 137557907. The next prime is 137557939. The reversal of 137557920 is 29755731.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 85120 + ... + 86720.

It is an arithmetic number, because the mean of its divisors is an integer number (4541670).

Almost surely, 2^137557920 is an apocalyptic number.

137557920 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 137557920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218000160).

137557920 is an abundant number, since it is smaller than the sum of its proper divisors (298442400).

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

137557920 is a wasteful number, since it uses less digits than its factorization.

137557920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1798 (or 1790 counting only the distinct ones).

The product of its (nonzero) digits is 66150, while the sum is 39.

The square root of 137557920 is about 11728.5088566279. The cubic root of 137557920 is about 516.2125198749.

It can be divided in two parts, 1375 and 57920, that added together give a palindrome (59295).

The spelling of 137557920 in words is "one hundred thirty-seven million, five hundred fifty-seven thousand, nine hundred twenty".