113535000 has 240 divisors, whose sum is σ = 408150600. Its totient is φ = 29232000.

The previous prime is 113534999. The next prime is 113535001. The reversal of 113535000 is 535311.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

113535000 is a `hidden beast` number, since 113 + 53 + 500 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (113534999) and next prime (113535001).

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 (113535001) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 3914986 + ... + 3915014.

Almost surely, 2^113535000 is an apocalyptic number.

113535000 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 113535000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204075300).

113535000 is an abundant number, since it is smaller than the sum of its proper divisors (294615600).

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

113535000 is an equidigital number, since it uses as much as digits as its factorization.

113535000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 39 counting only the distinct ones).

The product of its (nonzero) digits is 225, while the sum is 18.

The square root of 113535000 is about 10655.2803811068. The cubic root of 113535000 is about 484.2205924764.

The spelling of 113535000 in words is "one hundred thirteen million, five hundred thirty-five thousand".