113145600 has 216 divisors, whose sum is σ = 383225472. Its totient is φ = 29388800.

The previous prime is 113145587. The next prime is 113145601. The reversal of 113145600 is 6541311.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113145601) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1363159 + ... + 1363241.

It is an arithmetic number, because the mean of its divisors is an integer number (1774192).

Almost surely, 2^113145600 is an apocalyptic number.

113145600 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 113145600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191612736).

113145600 is an abundant number, since it is smaller than the sum of its proper divisors (270079872).

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

113145600 is an equidigital number, since it uses as much as digits as its factorization.

113145600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 113145600 is about 10636.9920560279. The cubic root of 113145600 is about 483.6663684388. Note that the first 3 decimals are identical.

Adding to 113145600 its reverse (6541311), we get a palindrome (119686911).

The spelling of 113145600 in words is "one hundred thirteen million, one hundred forty-five thousand, six hundred".