113135400 has 384 divisors, whose sum is σ = 462470400. Its totient is φ = 24883200.

The previous prime is 113135383. The next prime is 113135411. The reversal of 113135400 is 4531311.

113135400 is a `hidden beast` number, since 113 + 13 + 540 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1549764 + ... + 1549836.

It is an arithmetic number, because the mean of its divisors is an integer number (1204350).

Almost surely, 2^113135400 is an apocalyptic number.

113135400 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 113135400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231235200).

113135400 is an abundant number, since it is smaller than the sum of its proper divisors (349335000).

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

113135400 is a wasteful number, since it uses less digits than its factorization.

113135400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 113135400 is about 10636.5125863697. The cubic root of 113135400 is about 483.6518339357.

Adding to 113135400 its reverse (4531311), we get a palindrome (117666711).

The spelling of 113135400 in words is "one hundred thirteen million, one hundred thirty-five thousand, four hundred".