137962968 has 128 divisors (see below), whose sum is σ = 412473600. Its totient is φ = 37900800.

The previous prime is 137962807. The next prime is 137962969. The reversal of 137962968 is 869269731.

It is a self number, because there is not a number n which added to its sum of digits gives 137962968.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137962969) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 209023 + ... + 209681.

It is an arithmetic number, because the mean of its divisors is an integer number (3222450).

Almost surely, 2^137962968 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 137962968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206236800).

137962968 is an abundant number, since it is smaller than the sum of its proper divisors (274510632).

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

137962968 is a wasteful number, since it uses less digits than its factorization.

137962968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 753 (or 749 counting only the distinct ones).

The product of its digits is 979776, while the sum is 51.

The square root of 137962968 is about 11745.7638321226. The cubic root of 137962968 is about 516.7186968529.

The spelling of 137962968 in words is "one hundred thirty-seven million, nine hundred sixty-two thousand, nine hundred sixty-eight".