10137856 has 27 divisors (see below), whose sum is σ = 20338311. Its totient is φ = 5043456.

The previous prime is 10137821. The next prime is 10137857. The reversal of 10137856 is 65873101.

The square root of 10137856 is 3184.

It is a perfect power (a square), and thus also a powerful number.

It is a super-2 number, since 2×10137856² = 205552248553472, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10137857) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 50845 + ... + 51043.

Almost surely, 2^10137856 is an apocalyptic number.

10137856 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

10137856 is the 3184-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10137856

10137856 is an abundant number, since it is smaller than the sum of its proper divisors (10200455).

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

10137856 is an frugal number, since it uses more digits than its factorization.

10137856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 414 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 31.

The cubic root of 10137856 is about 216.4289600815.

The spelling of 10137856 in words is "ten million, one hundred thirty-seven thousand, eight hundred fifty-six".