137000904 has 64 divisors (see below), whose sum is σ = 357696000. Its totient is φ = 43676160.

The previous prime is 137000839. The next prime is 137000923. The reversal of 137000904 is 409000731.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 15 ways as a sum of consecutive naturals, for example, 65182 + ... + 67250.

It is an arithmetic number, because the mean of its divisors is an integer number (5589000).

Almost surely, 2^137000904 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 137000904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178848000).

137000904 is an abundant number, since it is smaller than the sum of its proper divisors (220695096).

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

137000904 is a wasteful number, since it uses less digits than its factorization.

137000904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2198 (or 2194 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 24.

The square root of 137000904 is about 11704.7385276221. The cubic root of 137000904 is about 515.5148074243.

The spelling of 137000904 in words is "one hundred thirty-seven million, nine hundred four", and thus it is an aban number.