137564496 has 30 divisors (see below), whose sum is σ = 384989930. Its totient is φ = 45854784.

The previous prime is 137564447. The next prime is 137564507. The reversal of 137564496 is 694465731.

It can be written as a sum of positive squares in only one way, i.e., 94478400 + 43086096 = 9720^2 + 6564^2 .

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 477511 + ... + 477798.

Almost surely, 2^137564496 is an apocalyptic number.

137564496 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

137564496 is an abundant number, since it is smaller than the sum of its proper divisors (247425434).

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

137564496 is a wasteful number, since it uses less digits than its factorization.

137564496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 955323 (or 955314 counting only the distinct ones).

The product of its digits is 544320, while the sum is 45.

The square root of 137564496 is about 11728.7891958207. The cubic root of 137564496 is about 516.2207456449.

The spelling of 137564496 in words is "one hundred thirty-seven million, five hundred sixty-four thousand, four hundred ninety-six".