115434534600 has 288 divisors, whose sum is σ = 483326475840. Its totient is φ = 23986368000.

The previous prime is 115434534587. The next prime is 115434534601. The reversal of 115434534600 is 6435434511.

115434534600 is a `hidden beast` number, since 1 + 1 + 5 + 4 + 3 + 45 + 3 + 4 + 600 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (115434534601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 277831 + ... + 555030.

It is an arithmetic number, because the mean of its divisors is an integer number (1678216930).

Almost surely, 2^115434534600 is an apocalyptic number.

115434534600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

115434534600 is an abundant number, since it is smaller than the sum of its proper divisors (367891941240).

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

115434534600 is a wasteful number, since it uses less digits than its factorization.

115434534600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 832901 (or 832889 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 115434534600 in words is "one hundred fifteen billion, four hundred thirty-four million, five hundred thirty-four thousand, six hundred".