137386440 has 48 divisors (see below), whose sum is σ = 446507100. Its totient is φ = 36636288.

The previous prime is 137386433. The next prime is 137386519. The reversal of 137386440 is 44683731.

137386440 is a `hidden beast` number, since 1 + 3 + 7 + 3 + 8 + 644 + 0 = 666.

137386440 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 136749636 + 636804 = 11694^2 + 798^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 137386395 and 137386404.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 190455 + ... + 191174.

Almost surely, 2^137386440 is an apocalyptic number.

137386440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

137386440 is an abundant number, since it is smaller than the sum of its proper divisors (309120660).

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

137386440 is a wasteful number, since it uses less digits than its factorization.

137386440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 381646 (or 381639 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 137386440 is about 11721.1961846904. The cubic root of 137386440 is about 515.9979267990.

The spelling of 137386440 in words is "one hundred thirty-seven million, three hundred eighty-six thousand, four hundred forty".