113242000 has 80 divisors (see below), whose sum is σ = 280700784. Its totient is φ = 44160000.

The previous prime is 113241991. The next prime is 113242001. The reversal of 113242000 is 242311.

It can be written as a sum of positive squares in 8 ways, for example, as 70627216 + 42614784 = 8404^2 + 6528^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113242001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 81310 + ... + 82690.

Almost surely, 2^113242000 is an apocalyptic number.

113242000 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 113242000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140350392).

113242000 is an abundant number, since it is smaller than the sum of its proper divisors (167458784).

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

113242000 is a wasteful number, since it uses less digits than its factorization.

113242000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1445 (or 1429 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 113242000 is about 10641.5224474696. The cubic root of 113242000 is about 483.8036906224.

Adding to 113242000 its reverse (242311), we get a palindrome (113484311).

The spelling of 113242000 in words is "one hundred thirteen million, two hundred forty-two thousand".