113278464 has 240 divisors, whose sum is σ = 369393024. Its totient is φ = 33177600.

The previous prime is 113278457. The next prime is 113278481. The reversal of 113278464 is 464872311.

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

It is a zygodrome in base 8.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1856994 + ... + 1857054.

Almost surely, 2^113278464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113278464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184696512).

113278464 is an abundant number, since it is smaller than the sum of its proper divisors (256114560).

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

113278464 is a wasteful number, since it uses less digits than its factorization.

113278464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 110 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 113278464 is about 10643.2355982568. The cubic root of 113278464 is about 483.8556134207.

It can be divided in two parts, 11327 and 8464, that added together give a palindrome (19791).

The spelling of 113278464 in words is "one hundred thirteen million, two hundred seventy-eight thousand, four hundred sixty-four".