115419756 has 48 divisors (see below), whose sum is σ = 290424960. Its totient is φ = 35556480.

The previous prime is 115419751. The next prime is 115419767. The reversal of 115419756 is 657914511.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (115419751) by changing a digit.

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, 3175 + ... + 15521.

It is an arithmetic number, because the mean of its divisors is an integer number (6050520).

Almost surely, 2^115419756 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 115419756, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145212480).

115419756 is an abundant number, since it is smaller than the sum of its proper divisors (175005204).

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

115419756 is a wasteful number, since it uses less digits than its factorization.

115419756 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12414 (or 12412 counting only the distinct ones).

The product of its digits is 37800, while the sum is 39.

The square root of 115419756 is about 10743.3586926994. The cubic root of 115419756 is about 486.8853613542.

It can be divided in two parts, 1154 and 19756, that added together give a triangular number (20910 = T₂₀₄).

The spelling of 115419756 in words is "one hundred fifteen million, four hundred nineteen thousand, seven hundred fifty-six".