137117729280 has 320 divisors, whose sum is σ = 505949545728. Its totient is φ = 31029657600.

The previous prime is 137117729263. The next prime is 137117729293. The reversal of 137117729280 is 82927711731.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5417134 + ... + 5442386.

Almost surely, 2^137117729280 is an apocalyptic number.

137117729280 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 137117729280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252974772864).

137117729280 is an abundant number, since it is smaller than the sum of its proper divisors (368831816448).

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

137117729280 is a wasteful number, since it uses less digits than its factorization.

137117729280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25387 (or 25371 counting only the distinct ones).

The product of its (nonzero) digits is 296352, while the sum is 48.

The spelling of 137117729280 in words is "one hundred thirty-seven billion, one hundred seventeen million, seven hundred twenty-nine thousand, two hundred eighty".