113151504400 has 225 divisors, whose sum is σ = 301196048205. Its totient is φ = 40849987200.

The previous prime is 113151504359. The next prime is 113151504407. The reversal of 113151504400 is 4405151311.

The square root of 113151504400 is 336380.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 40734541584 + 72416962816 = 201828^2 + 269104^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (113151504407) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 814039531 + ... + 814039669.

Almost surely, 2^113151504400 is an apocalyptic number.

113151504400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

113151504400 is the 336380-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113151504400

113151504400 is an abundant number, since it is smaller than the sum of its proper divisors (188044543805).

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

113151504400 is an frugal number, since it uses more digits than its factorization.

113151504400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 25.

Multiplying 113151504400 by its sum of digits (25), we get a square (2828787610000 = 1681900²).

113151504400 divided by its sum of digits (25) gives a square (4526060176 = 67276²).

Adding to 113151504400 its reverse (4405151311), we get a palindrome (117556655711).

The spelling of 113151504400 in words is "one hundred thirteen billion, one hundred fifty-one million, five hundred four thousand, four hundred".