137315520 has 224 divisors, whose sum is σ = 506211840. Its totient is φ = 34974720.

The previous prime is 137315513. The next prime is 137315537. The reversal of 137315520 is 25513731.

137315520 is a `hidden beast` number, since 137 + 3 + 1 + 5 + 520 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 198375 + ... + 199065.

Almost surely, 2^137315520 is an apocalyptic number.

137315520 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 137315520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253105920).

137315520 is an abundant number, since it is smaller than the sum of its proper divisors (368896320).

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

137315520 is a wasteful number, since it uses less digits than its factorization.

137315520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 740 (or 724 counting only the distinct ones).

The product of its (nonzero) digits is 3150, while the sum is 27.

The square root of 137315520 is about 11718.1705056719. The cubic root of 137315520 is about 515.9091240719.

The spelling of 137315520 in words is "one hundred thirty-seven million, three hundred fifteen thousand, five hundred twenty".