113401764 has 144 divisors (see below), whose sum is σ = 351606528. Its totient is φ = 30081024.

The previous prime is 113401763. The next prime is 113401787. The reversal of 113401764 is 467104311.

It is a happy number.

113401764 is digitally balanced in base 9, because in such base it contains all the possibile digits an equal number of times.

113401764 is strictly pandigital in base 9.

It is not an unprimeable number, because it can be changed into a prime (113401763) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 441124 + ... + 441380.

It is an arithmetic number, because the mean of its divisors is an integer number (2441712).

Almost surely, 2^113401764 is an apocalyptic number.

113401764 is a gapful number since it is divisible by the number (14) 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 113401764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175803264).

113401764 is an abundant number, since it is smaller than the sum of its proper divisors (238204764).

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

113401764 is a wasteful number, since it uses less digits than its factorization.

113401764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 394 (or 389 counting only the distinct ones).

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

The square root of 113401764 is about 10649.0264343742. The cubic root of 113401764 is about 484.0311035722.

The spelling of 113401764 in words is "one hundred thirteen million, four hundred one thousand, seven hundred sixty-four".