137961728 has 36 divisors (see below), whose sum is σ = 287370048. Its totient is φ = 65978880.

The previous prime is 137961721. The next prime is 137961731. The reversal of 137961728 is 827169731.

It is not an unprimeable number, because it can be changed into a prime (137961721) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 5828 + ... + 17603.

Almost surely, 2^137961728 is an apocalyptic number.

It is an amenable number.

137961728 is an abundant number, since it is smaller than the sum of its proper divisors (149408320).

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

137961728 is an equidigital number, since it uses as much as digits as its factorization.

137961728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23470 (or 23456 counting only the distinct ones).

The product of its digits is 127008, while the sum is 44.

The square root of 137961728 is about 11745.7110470163. The cubic root of 137961728 is about 516.7171487730.

The spelling of 137961728 in words is "one hundred thirty-seven million, nine hundred sixty-one thousand, seven hundred twenty-eight".