137612520000 has 350 divisors, whose sum is σ = 509757105198. Its totient is φ = 36695808000.

The previous prime is 137612519963. The next prime is 137612520029. The reversal of 137612520000 is 25216731.

It is a happy number.

137612520000 is a `hidden beast` number, since 137 + 6 + 1 + 2 + 520 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 5 ways, for example, as 78808209984 + 58804310016 = 280728^2 + 242496^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 49 ways as a sum of consecutive naturals, for example, 3218764 + ... + 3261236.

Almost surely, 2^137612520000 is an apocalyptic number.

137612520000 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 137612520000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254878552599).

137612520000 is an abundant number, since it is smaller than the sum of its proper divisors (372144585198).

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

137612520000 is an frugal number, since it uses more digits than its factorization.

137612520000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42517 (or 42483 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

Adding to 137612520000 its reverse (25216731), we get a palindrome (137637736731).

The spelling of 137612520000 in words is "one hundred thirty-seven billion, six hundred twelve million, five hundred twenty thousand".