137476840 has 16 divisors (see below), whose sum is σ = 309322980. Its totient is φ = 54990720.

The previous prime is 137476783. The next prime is 137476853. The reversal of 137476840 is 48674731.

137476840 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 133125444 + 4351396 = 11538^2 + 2086^2 .

It is a Harshad number since it is a multiple of its sum of digits (40), and also a Moran number because the ratio is a prime number: 3436921 = 137476840 / (1 + 3 + 7 + 4 + 7 + 6 + 8 + 4 + 0).

It is a junction number, because it is equal to n+sod(n) for n = 137476793 and 137476802.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1718421 + ... + 1718500.

Almost surely, 2^137476840 is an apocalyptic number.

137476840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

137476840 is an abundant number, since it is smaller than the sum of its proper divisors (171846140).

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

137476840 is a wasteful number, since it uses less digits than its factorization.

137476840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3436932 (or 3436928 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 40.

The square root of 137476840 is about 11725.0518122523. The cubic root of 137476840 is about 516.1110771828. Note that the first 3 decimals are identical.

The spelling of 137476840 in words is "one hundred thirty-seven million, four hundred seventy-six thousand, eight hundred forty".