10137920 has 56 divisors (see below), whose sum is σ = 26008584. Its totient is φ = 3741696.

The previous prime is 10137913. The next prime is 10137931. The reversal of 10137920 is 2973101.

It can be written as a sum of positive squares in 4 ways, for example, as 1517824 + 8620096 = 1232^2 + 2936^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2942 + ... + 5378.

It is an arithmetic number, because the mean of its divisors is an integer number (464439).

Almost surely, 2^10137920 is an apocalyptic number.

10137920 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 10137920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13004292).

10137920 is an abundant number, since it is smaller than the sum of its proper divisors (15870664).

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

10137920 is a wasteful number, since it uses less digits than its factorization.

10137920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2467 (or 2457 counting only the distinct ones).

The product of its (nonzero) digits is 378, while the sum is 23.

The square root of 10137920 is about 3184.0100502354. The cubic root of 10137920 is about 216.4294155172.

The spelling of 10137920 in words is "ten million, one hundred thirty-seven thousand, nine hundred twenty".