137630304 has 144 divisors (see below), whose sum is σ = 450751392. Its totient is φ = 39020544.

The previous prime is 137630299. The next prime is 137630329. The reversal of 137630304 is 403036731.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 469582 + ... + 469874.

It is an arithmetic number, because the mean of its divisors is an integer number (3130218).

Almost surely, 2^137630304 is an apocalyptic number.

137630304 is a gapful number since it is divisible by the number (14) 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 137630304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225375696).

137630304 is an abundant number, since it is smaller than the sum of its proper divisors (313121088).

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

137630304 is a wasteful number, since it uses less digits than its factorization.

137630304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 549 (or 538 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 27.

The square root of 137630304 is about 11731.5942650605. The cubic root of 137630304 is about 516.3030489528.

The spelling of 137630304 in words is "one hundred thirty-seven million, six hundred thirty thousand, three hundred four".