113892000 has 96 divisors (see below), whose sum is σ = 373149504. Its totient is φ = 30368000.

The previous prime is 113891983. The next prime is 113892001. The reversal of 113892000 is 298311.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (113892001) 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 15 ways as a sum of consecutive naturals, for example, 7255 + ... + 16745.

It is an arithmetic number, because the mean of its divisors is an integer number (3886974).

Almost surely, 2^113892000 is an apocalyptic number.

113892000 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 113892000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186574752).

113892000 is an abundant number, since it is smaller than the sum of its proper divisors (259257504).

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

113892000 is an equidigital number, since it uses as much as digits as its factorization.

113892000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9519 (or 9501 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 24.

The square root of 113892000 is about 10672.0194902371. The cubic root of 113892000 is about 484.7275899652.

The spelling of 113892000 in words is "one hundred thirteen million, eight hundred ninety-two thousand".