113645000 has 160 divisors (see below), whose sum is σ = 323896320. Its totient is φ = 36480000.

The previous prime is 113644991. The next prime is 113645009. The reversal of 113645000 is 546311.

It is an interprime number because it is at equal distance from previous prime (113644991) and next prime (113645009).

It is a super-3 number, since 3×113645000³ (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (113645009) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 594905 + ... + 595095.

It is an arithmetic number, because the mean of its divisors is an integer number (2024352).

Almost surely, 2^113645000 is an apocalyptic number.

113645000 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 113645000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161948160).

113645000 is an abundant number, since it is smaller than the sum of its proper divisors (210251320).

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

113645000 is a wasteful number, since it uses less digits than its factorization.

113645000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

The square root of 113645000 is about 10660.4408914453. The cubic root of 113645000 is about 484.3769233361.

The spelling of 113645000 in words is "one hundred thirteen million, six hundred forty-five thousand".