113569000 has 48 divisors (see below), whose sum is σ = 266542380. Its totient is φ = 45292800.

The previous prime is 113568997. The next prime is 113569019. The reversal of 113569000 is 965311.

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.

It can be written as a sum of positive squares in 6 ways, for example, as 401956 + 113167044 = 634^2 + 10638^2 .

It is a super-2 number, since 2×113569000² = 25795835522000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 336832 + ... + 337168.

Almost surely, 2^113569000 is an apocalyptic number.

113569000 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 113569000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133271190).

113569000 is an abundant number, since it is smaller than the sum of its proper divisors (152973380).

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

113569000 is an frugal number, since it uses more digits than its factorization.

113569000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 695 (or 344 counting only the distinct ones).

The product of its (nonzero) digits is 810, while the sum is 25.

The square root of 113569000 is about 10656.8757147674. The cubic root of 113569000 is about 484.2689237017.

Multiplying 113569000 by its product of nonzero digits (810), we get a square (91990890000 = 303300²).

The spelling of 113569000 in words is "one hundred thirteen million, five hundred sixty-nine thousand".