1152100134400 has 240 divisors, whose sum is σ = 2888511373440. Its totient is φ = 455370137600.

The previous prime is 1152100134371. The next prime is 1152100134421. The reversal of 1152100134400 is 44310012511.

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, 382628895 + ... + 382631905.

It is an arithmetic number, because the mean of its divisors is an integer number (12035464056).

Almost surely, 2^{1152100134400} is an apocalyptic number.

1152100134400 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 1152100134400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1444255686720).

1152100134400 is an abundant number, since it is smaller than the sum of its proper divisors (1736411239040).

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

1152100134400 is a wasteful number, since it uses less digits than its factorization.

1152100134400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3385 (or 3364 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 22.

Adding to 1152100134400 its reverse (44310012511), we get a palindrome (1196410146911).

The spelling of 1152100134400 in words is "one trillion, one hundred fifty-two billion, one hundred million, one hundred thirty-four thousand, four hundred".