137363264 has 56 divisors (see below), whose sum is σ = 290340288. Its totient is φ = 64256000.

The previous prime is 137363251. The next prime is 137363267. The reversal of 137363264 is 462363731.

137363264 = 251² + 252² + ... + 753².

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137363267) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 272837 + ... + 273339.

It is an arithmetic number, because the mean of its divisors is an integer number (5184648).

Almost surely, 2^137363264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 137363264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145170144).

137363264 is an abundant number, since it is smaller than the sum of its proper divisors (152977024).

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

137363264 is a wasteful number, since it uses less digits than its factorization.

137363264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 783 (or 773 counting only the distinct ones).

The product of its digits is 54432, while the sum is 35.

The square root of 137363264 is about 11720.2075066954. The cubic root of 137363264 is about 515.9689102515.

The spelling of 137363264 in words is "one hundred thirty-seven million, three hundred sixty-three thousand, two hundred sixty-four".