113537376 has 168 divisors, whose sum is σ = 348151104. Its totient is φ = 36391680.

The previous prime is 113537371. The next prime is 113537387. The reversal of 113537376 is 673735311.

It is a happy number.

113537376 is a `hidden beast` number, since 113 + 537 + 3 + 7 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 113537376.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113537371) 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 27 ways as a sum of consecutive naturals, for example, 723090 + ... + 723246.

It is an arithmetic number, because the mean of its divisors is an integer number (2072328).

Almost surely, 2^113537376 is an apocalyptic number.

113537376 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 113537376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174075552).

113537376 is an abundant number, since it is smaller than the sum of its proper divisors (234613728).

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

113537376 is an equidigital number, since it uses as much as digits as its factorization.

113537376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 193 counting only the distinct ones).

The product of its digits is 39690, while the sum is 36.

The square root of 113537376 is about 10655.3918745394. The cubic root of 113537376 is about 484.2239702897.

113537376 divided by its sum of digits (36) gives a triangular number (3153816 = T₂₅₁₁).

The spelling of 113537376 in words is "one hundred thirteen million, five hundred thirty-seven thousand, three hundred seventy-six".