137386368 has 192 divisors, whose sum is σ = 469297920. Its totient is φ = 39191040.

The previous prime is 137386309. The next prime is 137386373. The reversal of 137386368 is 863683731.

137386368 is a `hidden beast` number, since 1 + 3 + 7 + 3 + 8 + 636 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×137386368² = 37750028224462848, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 217413 + ... + 218043.

It is an arithmetic number, because the mean of its divisors is an integer number (2444260).

Almost surely, 2^137386368 is an apocalyptic number.

137386368 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 137386368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234648960).

137386368 is an abundant number, since it is smaller than the sum of its proper divisors (331911552).

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

137386368 is an frugal number, since it uses more digits than its factorization.

137386368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 667 (or 643 counting only the distinct ones).

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

The square root of 137386368 is about 11721.1931133311. The cubic root of 137386368 is about 515.9978366594.

The spelling of 137386368 in words is "one hundred thirty-seven million, three hundred eighty-six thousand, three hundred sixty-eight".