137330116560 has 1080 divisors, whose sum is σ = 600489137664. Its totient is φ = 28002723840.

The previous prime is 137330116523. The next prime is 137330116571. The reversal of 137330116560 is 65611033731.

It is a happy number.

137330116560 is a `hidden beast` number, since 13 + 73 + 3 + 0 + 1 + 16 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 184831549 + ... + 184832291.

Almost surely, 2^137330116560 is an apocalyptic number.

137330116560 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 137330116560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300244568832).

137330116560 is an abundant number, since it is smaller than the sum of its proper divisors (463159021104).

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

137330116560 is a wasteful number, since it uses less digits than its factorization.

137330116560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 833 (or 804 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 36.

The spelling of 137330116560 in words is "one hundred thirty-seven billion, three hundred thirty million, one hundred sixteen thousand, five hundred sixty".