137063568 has 80 divisors (see below), whose sum is σ = 375779520. Its totient is φ = 42928128.

The previous prime is 137063567. The next prime is 137063579. The reversal of 137063568 is 865360731.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137063567) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 124396 + ... + 125492.

It is an arithmetic number, because the mean of its divisors is an integer number (4697244).

Almost surely, 2^137063568 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 137063568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187889760).

137063568 is an abundant number, since it is smaller than the sum of its proper divisors (238715952).

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

137063568 is a wasteful number, since it uses less digits than its factorization.

137063568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1264 (or 1258 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 39.

The square root of 137063568 is about 11707.4150861751. The cubic root of 137063568 is about 515.5933940003.

The spelling of 137063568 in words is "one hundred thirty-seven million, sixty-three thousand, five hundred sixty-eight".