137004408 has 24 divisors (see below), whose sum is σ = 371053800. Its totient is φ = 45668112.

The previous prime is 137004397. The next prime is 137004433. The reversal of 137004408 is 804400731.

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×137004408² = 37540415622860928, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 951348 + ... + 951491.

It is an arithmetic number, because the mean of its divisors is an integer number (15460575).

Almost surely, 2^137004408 is an apocalyptic number.

137004408 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

137004408 is an abundant number, since it is smaller than the sum of its proper divisors (234049392).

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

137004408 is a wasteful number, since it uses less digits than its factorization.

137004408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1902851 (or 1902844 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 137004408 is about 11704.8882096328. Note that the first 3 decimals coincide. The cubic root of 137004408 is about 515.5192024038.

The spelling of 137004408 in words is "one hundred thirty-seven million, four thousand, four hundred eight".