113037408 has 144 divisors (see below), whose sum is σ = 362299392. Its totient is φ = 33120000.

The previous prime is 113037391. The next prime is 113037409. The reversal of 113037408 is 804730311.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113037409) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 97633 + ... + 98783.

It is an arithmetic number, because the mean of its divisors is an integer number (2515968).

Almost surely, 2^113037408 is an apocalyptic number.

113037408 is a gapful number since it is divisible by the number (18) 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 113037408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181149696).

113037408 is an abundant number, since it is smaller than the sum of its proper divisors (249261984).

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

113037408 is a wasteful number, since it uses less digits than its factorization.

113037408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1209 (or 1198 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 113037408 is about 10631.9051914509. The cubic root of 113037408 is about 483.5121555783.

Adding to 113037408 its product of nonzero digits (2016), we get a square (113039424 = 10632²).

Adding to 113037408 its reverse (804730311), we get a palindrome (917767719).

The spelling of 113037408 in words is "one hundred thirteen million, thirty-seven thousand, four hundred eight".