137494368 has 384 divisors, whose sum is σ = 496419840. Its totient is φ = 36495360.

The previous prime is 137494363. The next prime is 137494373. The reversal of 137494368 is 863494731.

137494368 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (137494363) and next prime (137494373).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137494363) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3716046 + ... + 3716082.

It is an arithmetic number, because the mean of its divisors is an integer number (1292760).

Almost surely, 2^137494368 is an apocalyptic number.

137494368 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 137494368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248209920).

137494368 is an abundant number, since it is smaller than the sum of its proper divisors (358925472).

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

137494368 is a wasteful number, since it uses less digits than its factorization.

137494368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 93 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The square root of 137494368 is about 11725.7992478125. The cubic root of 137494368 is about 516.1330105997.

The spelling of 137494368 in words is "one hundred thirty-seven million, four hundred ninety-four thousand, three hundred sixty-eight".