137913315840 has 480 divisors, whose sum is σ = 495340724736. Its totient is φ = 35424829440.

The previous prime is 137913315763. The next prime is 137913315889. The reversal of 137913315840 is 48513319731.

137913315840 is a `hidden beast` number, since 1 + 37 + 9 + 1 + 3 + 31 + 584 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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 47 ways as a sum of consecutive naturals, for example, 252126447 + ... + 252126993.

Almost surely, 2^137913315840 is an apocalyptic number.

137913315840 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 137913315840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247670362368).

137913315840 is an abundant number, since it is smaller than the sum of its proper divisors (357427408896).

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

137913315840 is a wasteful number, since it uses less digits than its factorization.

137913315840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 960 (or 941 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 137913315840 in words is "one hundred thirty-seven billion, nine hundred thirteen million, three hundred fifteen thousand, eight hundred forty".