113958540 has 72 divisors (see below), whose sum is σ = 347321520. Its totient is φ = 30244224.

The previous prime is 113958529. The next prime is 113958547. The reversal of 113958540 is 45859311.

113958540 is a `hidden beast` number, since 1 + 1 + 39 + 585 + 40 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 113958495 and 113958504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113958547) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39466 + ... + 42254.

It is an arithmetic number, because the mean of its divisors is an integer number (4823910).

Almost surely, 2^113958540 is an apocalyptic number.

113958540 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 113958540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173660760).

113958540 is an abundant number, since it is smaller than the sum of its proper divisors (233362980).

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

113958540 is a wasteful number, since it uses less digits than its factorization.

113958540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3031 (or 3026 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The square root of 113958540 is about 10675.1365330847. The cubic root of 113958540 is about 484.8219702980.

The spelling of 113958540 in words is "one hundred thirteen million, nine hundred fifty-eight thousand, five hundred forty".