113291136 has 240 divisors, whose sum is σ = 393956640. Its totient is φ = 32223744.

The previous prime is 113291117. The next prime is 113291137. The reversal of 113291136 is 631192311.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113291137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 507921 + ... + 508143.

It is an arithmetic number, because the mean of its divisors is an integer number (1641486).

Almost surely, 2^113291136 is an apocalyptic number.

113291136 is a gapful number since it is divisible by the number (16) 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 113291136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196978320).

113291136 is an abundant number, since it is smaller than the sum of its proper divisors (280665504).

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

113291136 is an equidigital number, since it uses as much as digits as its factorization.

113291136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263 (or 235 counting only the distinct ones).

The product of its digits is 972, while the sum is 27.

The square root of 113291136 is about 10643.8308892992. The cubic root of 113291136 is about 483.8736550664.

The spelling of 113291136 in words is "one hundred thirteen million, two hundred ninety-one thousand, one hundred thirty-six".