137315640 has 288 divisors, whose sum is σ = 529457040. Its totient is φ = 28385280.

The previous prime is 137315639. The next prime is 137315653. The reversal of 137315640 is 46513731.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 137315598 and 137315607.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 711384 + ... + 711576.

Almost surely, 2^137315640 is an apocalyptic number.

137315640 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 137315640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264728520).

137315640 is an abundant number, since it is smaller than the sum of its proper divisors (392141400).

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

137315640 is a wasteful number, since it uses less digits than its factorization.

137315640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 30.

The square root of 137315640 is about 11718.1756259240. The cubic root of 137315640 is about 515.9092743562.

The spelling of 137315640 in words is "one hundred thirty-seven million, three hundred fifteen thousand, six hundred forty".