10137250300800 has 1536 divisors, whose sum is σ = 41061479040000. Its totient is φ = 2193879367680.

The previous prime is 10137250300753. The next prime is 10137250300813. The reversal of 10137250300800 is 800305273101.

It is a super-2 number, since 2×10137250300800² (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5061032599 + ... + 5061034601.

It is an arithmetic number, because the mean of its divisors is an integer number (26732733750).

Almost surely, 2^{10137250300800} is an apocalyptic number.

10137250300800 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 10137250300800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20530739520000).

10137250300800 is an abundant number, since it is smaller than the sum of its proper divisors (30924228739200).

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

10137250300800 is a wasteful number, since it uses less digits than its factorization.

10137250300800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2133 (or 2102 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

Adding to 10137250300800 its reverse (800305273101), we get a palindrome (10937555573901).

The spelling of 10137250300800 in words is "ten trillion, one hundred thirty-seven billion, two hundred fifty million, three hundred thousand, eight hundred".