137208539520 has 2048 divisors, whose sum is σ = 611960832000. Its totient is φ = 28665446400.

The previous prime is 137208539497. The next prime is 137208539609. The reversal of 137208539520 is 25935802731.

137208539520 is a `hidden beast` number, since 1 + 3 + 72 + 0 + 8 + 53 + 9 + 520 = 666.

It is a super-2 number, since 2×137208539520² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 2249320290 + ... + 2249320350.

It is an arithmetic number, because the mean of its divisors is an integer number (298809000).

Almost surely, 2^137208539520 is an apocalyptic number.

137208539520 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 137208539520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305980416000).

137208539520 is an abundant number, since it is smaller than the sum of its proper divisors (474752292480).

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

137208539520 is a wasteful number, since it uses less digits than its factorization.

137208539520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The spelling of 137208539520 in words is "one hundred thirty-seven billion, two hundred eight million, five hundred thirty-nine thousand, five hundred twenty".