10137960000 has 840 divisors, whose sum is σ = 43324881600. Its totient is φ = 2301696000.

The previous prime is 10137959989. The next prime is 10137960023. The reversal of 10137960000 is 6973101.

It is a tau number, because it is divible by the number of its divisors (840).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 68039926 + ... + 68040074.

It is an arithmetic number, because the mean of its divisors is an integer number (51577240).

Almost surely, 2^10137960000 is an apocalyptic number.

10137960000 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 10137960000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21662440800).

10137960000 is an abundant number, since it is smaller than the sum of its proper divisors (33186921600).

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

10137960000 is an frugal number, since it uses more digits than its factorization.

10137960000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 1134, while the sum is 27.

The spelling of 10137960000 in words is "ten billion, one hundred thirty-seven million, nine hundred sixty thousand".