10137713760 has 120 divisors (see below), whose sum is σ = 35777727216. Its totient is φ = 2703386880.

The previous prime is 10137713759. The next prime is 10137713767. The reversal of 10137713760 is 6731773101.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10137713767) 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 19 ways as a sum of consecutive naturals, for example, 378156 + ... + 404075.

Almost surely, 2^10137713760 is an apocalyptic number.

10137713760 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10137713760 is an abundant number, since it is smaller than the sum of its proper divisors (25640013456).

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

10137713760 is an equidigital number, since it uses as much as digits as its factorization.

10137713760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 782258 (or 782241 counting only the distinct ones).

The product of its (nonzero) digits is 18522, while the sum is 36.

The spelling of 10137713760 in words is "ten billion, one hundred thirty-seven million, seven hundred thirteen thousand, seven hundred sixty".