137659968 has 84 divisors (see below), whose sum is σ = 411772608. Its totient is φ = 43887360.

The previous prime is 137659967. The next prime is 137659979. The reversal of 137659968 is 869956731.

It is a super-2 number, since 2×137659968² = 37900533579522048, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (137659961) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8053 + ... + 18443.

Almost surely, 2^137659968 is an apocalyptic number.

137659968 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 137659968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205886304).

137659968 is an abundant number, since it is smaller than the sum of its proper divisors (274112640).

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

137659968 is a wasteful number, since it uses less digits than its factorization.

137659968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10432 (or 10419 counting only the distinct ones).

The product of its digits is 2449440, while the sum is 54.

The square root of 137659968 is about 11732.8584752395. The cubic root of 137659968 is about 516.3401398961.

The spelling of 137659968 in words is "one hundred thirty-seven million, six hundred fifty-nine thousand, nine hundred sixty-eight".