137904040 has 16 divisors (see below), whose sum is σ = 310284180. Its totient is φ = 55161600.

The previous prime is 137903999. The next prime is 137904047. The reversal of 137904040 is 40409731.

It can be written as a sum of positive squares in 2 ways, for example, as 133125444 + 4778596 = 11538^2 + 2186^2 .

It is not an unprimeable number, because it can be changed into a prime (137904047) by changing a digit.

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, 1723761 + ... + 1723840.

Almost surely, 2^137904040 is an apocalyptic number.

137904040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

137904040 is an abundant number, since it is smaller than the sum of its proper divisors (172380140).

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

137904040 is a wasteful number, since it uses less digits than its factorization.

137904040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3447612 (or 3447608 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 28.

The square root of 137904040 is about 11743.2550853671. The cubic root of 137904040 is about 516.6451178433.

The spelling of 137904040 in words is "one hundred thirty-seven million, nine hundred four thousand, forty".