10137128952 has 128 divisors (see below), whose sum is σ = 26313984000. Its totient is φ = 3252587520.

The previous prime is 10137128941. The next prime is 10137128971. The reversal of 10137128952 is 25982173101.

It is a happy number.

It is a super-2 number, since 2×10137128952² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10137128952.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28236949 + ... + 28237307.

It is an arithmetic number, because the mean of its divisors is an integer number (205578000).

Almost surely, 2^10137128952 is an apocalyptic number.

10137128952 is a gapful number since it is divisible by the number (12) 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 10137128952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13156992000).

10137128952 is an abundant number, since it is smaller than the sum of its proper divisors (16176855048).

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

10137128952 is a wasteful number, since it uses less digits than its factorization.

10137128952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 781 (or 777 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 39.

The spelling of 10137128952 in words is "ten billion, one hundred thirty-seven million, one hundred twenty-eight thousand, nine hundred fifty-two".