137604268032 has 640 divisors, whose sum is σ = 475796682720. Its totient is φ = 35067002880.

The previous prime is 137604267991. The next prime is 137604268073. The reversal of 137604268032 is 230862406731.

It is an interprime number because it is at equal distance from previous prime (137604267991) and next prime (137604268073).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2596306918 + ... + 2596306970.

Almost surely, 2^137604268032 is an apocalyptic number.

137604268032 is a gapful number since it is divisible by the number (12) 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 137604268032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237898341360).

137604268032 is an abundant number, since it is smaller than the sum of its proper divisors (338192414688).

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

137604268032 is an frugal number, since it uses more digits than its factorization.

137604268032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 42.

The spelling of 137604268032 in words is "one hundred thirty-seven billion, six hundred four million, two hundred sixty-eight thousand, thirty-two".