137016408 has 32 divisors (see below), whose sum is σ = 348350400. Its totient is φ = 44897568.

The previous prime is 137016371. The next prime is 137016409. The reversal of 137016408 is 804610731.

It is a happy number.

It is a super-2 number, since 2×137016408² = 37546992122444928, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137016409) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 46966 + ... + 49797.

It is an arithmetic number, because the mean of its divisors is an integer number (10885950).

Almost surely, 2^137016408 is an apocalyptic number.

It is an amenable number.

137016408 is an abundant number, since it is smaller than the sum of its proper divisors (211333992).

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

137016408 is a wasteful number, since it uses less digits than its factorization.

137016408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96831 (or 96827 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 137016408 is about 11705.4008047568. The cubic root of 137016408 is about 515.5342531356.

The spelling of 137016408 in words is "one hundred thirty-seven million, sixteen thousand, four hundred eight".