10137236340 has 384 divisors, whose sum is σ = 37679136768. Its totient is φ = 1971486720.

The previous prime is 10137236299. The next prime is 10137236341. The reversal of 10137236340 is 4363273101.

It is a super-2 number, since 2×10137236340² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 10137236298 and 10137236307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10137236341) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 26467789 + ... + 26468171.

It is an arithmetic number, because the mean of its divisors is an integer number (98122752).

Almost surely, 2^10137236340 is an apocalyptic number.

10137236340 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 10137236340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18839568384).

10137236340 is an abundant number, since it is smaller than the sum of its proper divisors (27541900428).

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

10137236340 is a wasteful number, since it uses less digits than its factorization.

10137236340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 767 (or 765 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 30.

The spelling of 10137236340 in words is "ten billion, one hundred thirty-seven million, two hundred thirty-six thousand, three hundred forty".