137206368 has 108 divisors (see below), whose sum is σ = 422653140. Its totient is φ = 42202368.

The previous prime is 137206357. The next prime is 137206373. The reversal of 137206368 is 863602731.

It is a happy number.

137206368 is a `hidden beast` number, since 13 + 7 + 2 + 0 + 636 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 47263 + ... + 50081.

It is an arithmetic number, because the mean of its divisors is an integer number (3913455).

Almost surely, 2^137206368 is an apocalyptic number.

137206368 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 137206368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211326570).

137206368 is an abundant number, since it is smaller than the sum of its proper divisors (285446772).

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

137206368 is a wasteful number, since it uses less digits than its factorization.

137206368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2861 (or 2837 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 137206368 is about 11713.5121974581. The cubic root of 137206368 is about 515.7723892483.

The spelling of 137206368 in words is "one hundred thirty-seven million, two hundred six thousand, three hundred sixty-eight".