137576480720 has 480 divisors, whose sum is σ = 413323295616. Its totient is φ = 42268262400.

The previous prime is 137576480683. The next prime is 137576480749. The reversal of 137576480720 is 27084675731.

It is a happy number.

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, 117485735 + ... + 117486905.

Almost surely, 2^137576480720 is an apocalyptic number.

137576480720 is a gapful number since it is divisible by the number (10) 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 137576480720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206661647808).

137576480720 is an abundant number, since it is smaller than the sum of its proper divisors (275746814896).

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

137576480720 is a wasteful number, since it uses less digits than its factorization.

137576480720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1299 (or 1286 counting only the distinct ones).

The product of its (nonzero) digits is 1975680, while the sum is 50.

The spelling of 137576480720 in words is "one hundred thirty-seven billion, five hundred seventy-six million, four hundred eighty thousand, seven hundred twenty".