10152134400 has 216 divisors, whose sum is σ = 34661375280. Its totient is φ = 2613739520.

The previous prime is 10152134389. The next prime is 10152134423. The reversal of 10152134400 is 443125101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 547684 + ... + 565916.

It is an arithmetic number, because the mean of its divisors is an integer number (160469330).

Almost surely, 2^10152134400 is an apocalyptic number.

10152134400 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 10152134400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17330687640).

10152134400 is an abundant number, since it is smaller than the sum of its proper divisors (24509240880).

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

10152134400 is a wasteful number, since it uses less digits than its factorization.

10152134400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18291 (or 18272 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

Adding to 10152134400 its reverse (443125101), we get a palindrome (10595259501).

The spelling of 10152134400 in words is "ten billion, one hundred fifty-two million, one hundred thirty-four thousand, four hundred".