113271840 has 144 divisors (see below), whose sum is σ = 421739136. Its totient is φ = 27456000.

The previous prime is 113271827. The next prime is 113271857. The reversal of 113271840 is 48172311.

It is a tau number, because it is divible by the number of its divisors (144).

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, 12265 + ... + 19415.

It is an arithmetic number, because the mean of its divisors is an integer number (2928744).

Almost surely, 2^113271840 is an apocalyptic number.

113271840 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 113271840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210869568).

113271840 is an abundant number, since it is smaller than the sum of its proper divisors (308467296).

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

113271840 is a wasteful number, since it uses less digits than its factorization.

113271840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7183 (or 7172 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 113271840 is about 10642.9244101422. The cubic root of 113271840 is about 483.8461820250.

It can be divided in two parts, 113 and 271840, that added together give a triangular number (271953 = T₇₃₇).

The spelling of 113271840 in words is "one hundred thirteen million, two hundred seventy-one thousand, eight hundred forty".