113736000 has 224 divisors, whose sum is σ = 429841152. Its totient is φ = 25958400.

The previous prime is 113735987. The next prime is 113736013. The reversal of 113736000 is 637311.

It is an interprime number because it is at equal distance from previous prime (113735987) and next prime (113736013).

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 167662 + ... + 168338.

Almost surely, 2^113736000 is an apocalyptic number.

113736000 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 113736000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214920576).

113736000 is an abundant number, since it is smaller than the sum of its proper divisors (316105152).

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

113736000 is an equidigital number, since it uses as much as digits as its factorization.

113736000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 714 (or 694 counting only the distinct ones).

The product of its (nonzero) digits is 378, while the sum is 21.

The square root of 113736000 is about 10664.7081535314. The cubic root of 113736000 is about 484.5061753641.

It can be divided in two parts, 11 and 3736000, that added together give a triangular number (3736011 = T₂₇₃₃).

The spelling of 113736000 in words is "one hundred thirteen million, seven hundred thirty-six thousand".