137010516480 has 240 divisors, whose sum is σ = 489815149824. Its totient is φ = 35357368320.

The previous prime is 137010516421. The next prime is 137010516497. The reversal of 137010516480 is 84615010731.

137010516480 is a `hidden beast` number, since 1 + 3 + 7 + 0 + 1 + 0 + 5 + 1 + 648 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×137010516480² (a number of 23 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 618327 + ... + 810153.

Almost surely, 2^137010516480 is an apocalyptic number.

137010516480 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 137010516480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244907574912).

137010516480 is an abundant number, since it is smaller than the sum of its proper divisors (352804633344).

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

137010516480 is a wasteful number, since it uses less digits than its factorization.

137010516480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191887 (or 191868 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The spelling of 137010516480 in words is "one hundred thirty-seven billion, ten million, five hundred sixteen thousand, four hundred eighty".