137968516 has 27 divisors (see below), whose sum is σ = 281199639. Its totient is φ = 59058888.

The previous prime is 137968511. The next prime is 137968531. The reversal of 137968516 is 615869731.

It is a happy number.

The square root of 137968516 is 11746.

It is a perfect power (a square), and thus also a powerful number.

It is a super-2 number, since 2×137968516² = 38070622814484512, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (137968511) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 164025 + ... + 164863.

Almost surely, 2^137968516 is an apocalyptic number.

137968516 is the 11746-th square number.

It is an amenable number.

137968516 is an abundant number, since it is smaller than the sum of its proper divisors (143231123).

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

137968516 is an frugal number, since it uses more digits than its factorization.

137968516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1696 (or 848 counting only the distinct ones).

The product of its digits is 272160, while the sum is 46.

The cubic root of 137968516 is about 516.7256231485.

The spelling of 137968516 in words is "one hundred thirty-seven million, nine hundred sixty-eight thousand, five hundred sixteen".