137152998576 has 480 divisors, whose sum is σ = 453576177600. Its totient is φ = 40092433920.

The previous prime is 137152998553. The next prime is 137152998589. The reversal of 137152998576 is 675899251731.

137152998576 is a `hidden beast` number, since 1 + 3 + 7 + 1 + 52 + 9 + 9 + 8 + 576 = 666.

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 95 ways as a sum of consecutive naturals, for example, 122786370 + ... + 122787486.

It is an arithmetic number, because the mean of its divisors is an integer number (944950370).

Almost surely, 2^137152998576 is an apocalyptic number.

137152998576 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 137152998576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226788088800).

137152998576 is an abundant number, since it is smaller than the sum of its proper divisors (316423179024).

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

137152998576 is a wasteful number, since it uses less digits than its factorization.

137152998576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1197 (or 1162 counting only the distinct ones).

The product of its digits is 28576800, while the sum is 63.

The spelling of 137152998576 in words is "one hundred thirty-seven billion, one hundred fifty-two million, nine hundred ninety-eight thousand, five hundred seventy-six".