137137630 has 64 divisors (see below), whose sum is σ = 300303360. Its totient is φ = 44043264.

The previous prime is 137137613. The next prime is 137137639. The reversal of 137137630 is 36731731.

137137630 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 137137592 and 137137601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137137639) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 128479 + ... + 129541.

It is an arithmetic number, because the mean of its divisors is an integer number (4692240).

Almost surely, 2^137137630 is an apocalyptic number.

137137630 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

137137630 is an abundant number, since it is smaller than the sum of its proper divisors (163165730).

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

137137630 is a wasteful number, since it uses less digits than its factorization.

137137630 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1193.

The product of its (nonzero) digits is 7938, while the sum is 31.

The square root of 137137630 is about 11710.5776971079. The cubic root of 137137630 is about 515.6862438671.

The spelling of 137137630 in words is "one hundred thirty-seven million, one hundred thirty-seven thousand, six hundred thirty".