113873540 has 96 divisors (see below), whose sum is σ = 274821120. Its totient is φ = 39254400.

The previous prime is 113873537. The next prime is 113873549. The reversal of 113873540 is 45378311.

It is a super-2 number, since 2×113873540² = 25934366224263200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 113873497 and 113873506.

It is not an unprimeable number, because it can be changed into a prime (113873549) 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 31 ways as a sum of consecutive naturals, for example, 402239 + ... + 402521.

It is an arithmetic number, because the mean of its divisors is an integer number (2862720).

Almost surely, 2^113873540 is an apocalyptic number.

113873540 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 113873540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137410560).

113873540 is an abundant number, since it is smaller than the sum of its proper divisors (160947580).

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

113873540 is a wasteful number, since it uses less digits than its factorization.

113873540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 393 (or 391 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 32.

The square root of 113873540 is about 10671.1545767082. The cubic root of 113873540 is about 484.7013997886.

The spelling of 113873540 in words is "one hundred thirteen million, eight hundred seventy-three thousand, five hundred forty".