137756090520 has 96 divisors (see below), whose sum is σ = 467172856800. Its totient is φ = 35137783296.

The previous prime is 137756090519. The next prime is 137756090561. The reversal of 137756090520 is 25090657731.

137756090520 is a `hidden beast` number, since 1 + 3 + 77 + 56 + 0 + 9 + 0 + 520 = 666.

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8310325 + ... + 8326884.

It is an arithmetic number, because the mean of its divisors is an integer number (4866383925).

Almost surely, 2^137756090520 is an apocalyptic number.

137756090520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

137756090520 is an abundant number, since it is smaller than the sum of its proper divisors (329416766280).

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

137756090520 is a wasteful number, since it uses less digits than its factorization.

137756090520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16637249 (or 16637242 counting only the distinct ones).

The product of its (nonzero) digits is 396900, while the sum is 45.

It can be divided in two parts, 137 and 756090520, that added together give a palindrome (756090657).

The spelling of 137756090520 in words is "one hundred thirty-seven billion, seven hundred fifty-six million, ninety thousand, five hundred twenty".