115419136000 has 480 divisors, whose sum is σ = 336632954112. Its totient is φ = 38692454400.

The previous prime is 115419135971. The next prime is 115419136043. The reversal of 115419136000 is 631914511.

115419136000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1189887952 + ... + 1189888048.

Almost surely, 2^115419136000 is an apocalyptic number.

115419136000 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 115419136000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168316477056).

115419136000 is an abundant number, since it is smaller than the sum of its proper divisors (221213818112).

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

115419136000 is an frugal number, since it uses more digits than its factorization.

115419136000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 31.

The spelling of 115419136000 in words is "one hundred fifteen billion, four hundred nineteen million, one hundred thirty-six thousand".