137138568 has 64 divisors (see below), whose sum is σ = 395472000. Its totient is φ = 38817792.

The previous prime is 137138543. The next prime is 137138569. The reversal of 137138568 is 865831731.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (137138569) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14568 + ... + 22056.

It is an arithmetic number, because the mean of its divisors is an integer number (6179250).

Almost surely, 2^137138568 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 137138568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197736000).

137138568 is an abundant number, since it is smaller than the sum of its proper divisors (258333432).

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

137138568 is a wasteful number, since it uses less digits than its factorization.

137138568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7614 (or 7610 counting only the distinct ones).

The product of its digits is 120960, while the sum is 42.

The square root of 137138568 is about 11710.6177463019. The cubic root of 137138568 is about 515.6874196023.

The spelling of 137138568 in words is "one hundred thirty-seven million, one hundred thirty-eight thousand, five hundred sixty-eight".