10137204720 has 240 divisors, whose sum is σ = 36274990752. Its totient is φ = 2528133120.

The previous prime is 10137204709. The next prime is 10137204743. The reversal of 10137204720 is 2740273101.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-3 number, since 3×10137204720³ (a number of 31 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1992580 + ... + 1997660.

Almost surely, 2^10137204720 is an apocalyptic number.

10137204720 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 10137204720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18137495376).

10137204720 is an abundant number, since it is smaller than the sum of its proper divisors (26137786032).

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

10137204720 is a wasteful number, since it uses less digits than its factorization.

10137204720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5280 (or 5271 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

Adding to 10137204720 its reverse (2740273101), we get a palindrome (12877477821).

The spelling of 10137204720 in words is "ten billion, one hundred thirty-seven million, two hundred four thousand, seven hundred twenty".