137604096 has 264 divisors, whose sum is σ = 476869120. Its totient is φ = 38817792.

The previous prime is 137604079. The next prime is 137604113. The reversal of 137604096 is 690406731.

It is an interprime number because it is at equal distance from previous prime (137604079) and next prime (137604113).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 137604096.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1741785 + ... + 1741863.

Almost surely, 2^137604096 is an apocalyptic number.

137604096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 137604096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238434560).

137604096 is an abundant number, since it is smaller than the sum of its proper divisors (339265024).

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

137604096 is an frugal number, since it uses more digits than its factorization.

137604096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 137604096 is about 11730.4772281438. The cubic root of 137604096 is about 516.2702748498.

The spelling of 137604096 in words is "one hundred thirty-seven million, six hundred four thousand, ninety-six".