137874960 has 100 divisors (see below), whose sum is σ = 478882668. Its totient is φ = 36764928.

The previous prime is 137874953. The next prime is 137874977. The reversal of 137874960 is 69478731.

It can be written as a sum of positive squares in 2 ways, for example, as 24324624 + 113550336 = 4932^2 + 10656^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 4159 + ... + 17118.

Almost surely, 2^137874960 is an apocalyptic number.

137874960 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 137874960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239441334).

137874960 is an abundant number, since it is smaller than the sum of its proper divisors (341007708).

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

137874960 is a wasteful number, since it uses less digits than its factorization.

137874960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21302 (or 21287 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The square root of 137874960 is about 11742.0168625326. The cubic root of 137874960 is about 516.6088000864.

The spelling of 137874960 in words is "one hundred thirty-seven million, eight hundred seventy-four thousand, nine hundred sixty".