13137750720 has 224 divisors, whose sum is σ = 46445667840. Its totient is φ = 3495951360.

The previous prime is 13137750709. The next prime is 13137750727. The reversal of 13137750720 is 2705773131.

13137750720 is a `hidden beast` number, since 13 + 137 + 7 + 507 + 2 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (13137750727) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 4932109 + ... + 4934771.

Almost surely, 2^13137750720 is an apocalyptic number.

13137750720 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 13137750720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23222833920).

13137750720 is an abundant number, since it is smaller than the sum of its proper divisors (33307917120).

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

13137750720 is a wasteful number, since it uses less digits than its factorization.

13137750720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3260 (or 3244 counting only the distinct ones).

The product of its (nonzero) digits is 30870, while the sum is 36.

The spelling of 13137750720 in words is "thirteen billion, one hundred thirty-seven million, seven hundred fifty thousand, seven hundred twenty".