113729280 has 144 divisors (see below), whose sum is σ = 415209984. Its totient is φ = 25989120.

The previous prime is 113729267. The next prime is 113729293. The reversal of 113729280 is 82927311.

It is an interprime number because it is at equal distance from previous prime (113729267) and next prime (113729293).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24765 + ... + 28995.

Almost surely, 2^113729280 is an apocalyptic number.

113729280 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 113729280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207604992).

113729280 is an abundant number, since it is smaller than the sum of its proper divisors (301480704).

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

113729280 is an equidigital number, since it uses as much as digits as its factorization.

113729280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4262 (or 4248 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 33.

The square root of 113729280 is about 10664.3930910296. The cubic root of 113729280 is about 484.4966329571.

The spelling of 113729280 in words is "one hundred thirteen million, seven hundred twenty-nine thousand, two hundred eighty".