113142400 has 96 divisors (see below), whose sum is σ = 319488480. Its totient is φ = 38784000.

The previous prime is 113142389. The next prime is 113142401. The reversal of 113142400 is 4241311.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (113142401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19875 + ... + 24925.

It is an arithmetic number, because the mean of its divisors is an integer number (3328005).

Almost surely, 2^113142400 is an apocalyptic number.

113142400 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 113142400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159744240).

113142400 is an abundant number, since it is smaller than the sum of its proper divisors (206346080).

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

113142400 is an equidigital number, since it uses as much as digits as its factorization.

113142400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5082 (or 5065 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 113142400 is about 10636.8416365009. The cubic root of 113142400 is about 483.6618086887.

Adding to 113142400 its reverse (4241311), we get a palindrome (117383711).

The spelling of 113142400 in words is "one hundred thirteen million, one hundred forty-two thousand, four hundred".