137452484976576 has 672 divisors, whose sum is σ = 466228895328000. Its totient is φ = 35338522705920.

The previous prime is 137452484976533. The next prime is 137452484976613. The reversal of 137452484976576 is 675679484254731.

It is a tau number, because it is divible by the number of its divisors (672).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4948057855 + ... + 4948085633.

It is an arithmetic number, because the mean of its divisors is an integer number (693792999000).

Almost surely, 2^{137452484976576} is an apocalyptic number.

137452484976576 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 137452484976576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233114447664000).

137452484976576 is an abundant number, since it is smaller than the sum of its proper divisors (328776410351424).

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

137452484976576 is a wasteful number, since it uses less digits than its factorization.

137452484976576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28305 (or 28288 counting only the distinct ones).

The product of its digits is 8534937600, while the sum is 78.

The spelling of 137452484976576 in words is "one hundred thirty-seven trillion, four hundred fifty-two billion, four hundred eighty-four million, nine hundred seventy-six thousand, five hundred seventy-six".