113552000 has 128 divisors (see below), whose sum is σ = 290234880. Its totient is φ = 44160000.

The previous prime is 113551973. The next prime is 113552003. The reversal of 113552000 is 255311.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 113552000.

It is not an unprimeable number, because it can be changed into a prime (113552003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 751925 + ... + 752075.

It is an arithmetic number, because the mean of its divisors is an integer number (2267460).

Almost surely, 2^113552000 is an apocalyptic number.

113552000 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 113552000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145117440).

113552000 is an abundant number, since it is smaller than the sum of its proper divisors (176682880).

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

113552000 is an equidigital number, since it uses as much as digits as its factorization.

113552000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 17.

The square root of 113552000 is about 10656.0780777920. The cubic root of 113552000 is about 484.2447592950.

It can be divided in two parts, 1135 and 52000, that added together give a palindrome (53135).

The spelling of 113552000 in words is "one hundred thirteen million, five hundred fifty-two thousand".