10137346840 has 64 divisors (see below), whose sum is σ = 24238375200. Its totient is φ = 3802564608.

The previous prime is 10137346819. The next prime is 10137346841. The reversal of 10137346840 is 4864373101.

It is a self number, because there is not a number n which added to its sum of digits gives 10137346840.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10137346841) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 161451 + ... + 215269.

Almost surely, 2^10137346840 is an apocalyptic number.

10137346840 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 10137346840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12119187600).

10137346840 is an abundant number, since it is smaller than the sum of its proper divisors (14101028360).

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

10137346840 is a wasteful number, since it uses less digits than its factorization.

10137346840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54124 (or 54120 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 37.

The spelling of 10137346840 in words is "ten billion, one hundred thirty-seven million, three hundred forty-six thousand, eight hundred forty".