113771840 has 112 divisors (see below), whose sum is σ = 333524352. Its totient is φ = 35997696.

The previous prime is 113771839. The next prime is 113771873. The reversal of 113771840 is 48177311.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 113771797 and 113771806.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27167 + ... + 31073.

It is an arithmetic number, because the mean of its divisors is an integer number (2977896).

Almost surely, 2^113771840 is an apocalyptic number.

113771840 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 113771840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166762176).

113771840 is an abundant number, since it is smaller than the sum of its proper divisors (219752512).

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

113771840 is a wasteful number, since it uses less digits than its factorization.

113771840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3944 (or 3934 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 32.

The square root of 113771840 is about 10666.3883297019. The cubic root of 113771840 is about 484.5570618547.

The spelling of 113771840 in words is "one hundred thirteen million, seven hundred seventy-one thousand, eight hundred forty".