113526000 has 480 divisors, whose sum is σ = 488861568. Its totient is φ = 23961600.

The previous prime is 113525921. The next prime is 113526001. The reversal of 113526000 is 625311.

113526000 is a `hidden beast` number, since 1 + 13 + 52 + 600 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113526001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2141974 + ... + 2142026.

Almost surely, 2^113526000 is an apocalyptic number.

113526000 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 113526000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244430784).

113526000 is an abundant number, since it is smaller than the sum of its proper divisors (375335568).

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

113526000 is a wasteful number, since it uses less digits than its factorization.

113526000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 113526000 is about 10654.8580469193. The cubic root of 113526000 is about 484.2077973016.

The spelling of 113526000 in words is "one hundred thirteen million, five hundred twenty-six thousand".