137587968 has 216 divisors, whose sum is σ = 478296000. Its totient is φ = 37158912.

The previous prime is 137587943. The next prime is 137587969. The reversal of 137587968 is 869785731.

Its product of digits (2540160) is a multiple of the sum of its prime divisors (480).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137587969) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 306208 + ... + 306656.

Almost surely, 2^137587968 is an apocalyptic number.

137587968 is a gapful number since it is divisible by the number (18) 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 137587968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239148000).

137587968 is an abundant number, since it is smaller than the sum of its proper divisors (340708032).

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

137587968 is a wasteful number, since it uses less digits than its factorization.

137587968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 497 (or 480 counting only the distinct ones).

The product of its digits is 2540160, while the sum is 54.

The square root of 137587968 is about 11729.7897679370. The cubic root of 137587968 is about 516.2501041025.

The spelling of 137587968 in words is "one hundred thirty-seven million, five hundred eighty-seven thousand, nine hundred sixty-eight".