137514368 has 64 divisors (see below), whose sum is σ = 282744000. Its totient is φ = 66593280.

The previous prime is 137514361. The next prime is 137514379. The reversal of 137514368 is 863415731.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137514361) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 989243 + ... + 989381.

It is an arithmetic number, because the mean of its divisors is an integer number (4417875).

Almost surely, 2^137514368 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 137514368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141372000).

137514368 is an abundant number, since it is smaller than the sum of its proper divisors (145229632).

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

137514368 is a wasteful number, since it uses less digits than its factorization.

137514368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 343 (or 331 counting only the distinct ones).

The product of its digits is 60480, while the sum is 38.

The square root of 137514368 is about 11726.6520371332. The cubic root of 137514368 is about 516.1580350423.

The spelling of 137514368 in words is "one hundred thirty-seven million, five hundred fourteen thousand, three hundred sixty-eight".