10137040 has 20 divisors (see below), whose sum is σ = 23568804. Its totient is φ = 4054784.

The previous prime is 10136993. The next prime is 10137047. The reversal of 10137040 is 4073101.

10137040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 6780816 + 3356224 = 2604^2 + 1832^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10137047) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 63277 + ... + 63436.

Almost surely, 2^10137040 is an apocalyptic number.

10137040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10137040 is an abundant number, since it is smaller than the sum of its proper divisors (13431764).

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

10137040 is a wasteful number, since it uses less digits than its factorization.

10137040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126726 (or 126720 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 16.

The square root of 10137040 is about 3183.8718567179. The cubic root of 10137040 is about 216.4231531085.

The spelling of 10137040 in words is "ten million, one hundred thirty-seven thousand, forty".