137363880600 has 72 divisors (see below), whose sum is σ = 461313705060. Its totient is φ = 36630367680.

The previous prime is 137363880587. The next prime is 137363880629. The reversal of 137363880600 is 6088363731.

137363880600 is a `hidden beast` number, since 1 + 3 + 7 + 3 + 6 + 38 + 8 + 0 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 38154834 + ... + 38158433.

Almost surely, 2^137363880600 is an apocalyptic number.

137363880600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

137363880600 is an abundant number, since it is smaller than the sum of its proper divisors (323949824460).

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

137363880600 is a wasteful number, since it uses less digits than its factorization.

137363880600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76313289 (or 76313277 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 137363880600 in words is "one hundred thirty-seven billion, three hundred sixty-three million, eight hundred eighty thousand, six hundred".