134188372800 has 378 divisors, whose sum is σ = 485339084438. Its totient is φ = 35163924480.

The previous prime is 134188372777. The next prime is 134188372811. The reversal of 134188372800 is 8273881431.

134188372800 is a `hidden beast` number, since 13 + 418 + 83 + 72 + 80 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 723825216 + 133464547584 = 26904^2 + 365328^2 .

It is a super-3 number, since 3×134188372800³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 50125062 + ... + 50127738.

Almost surely, 2^134188372800 is an apocalyptic number.

134188372800 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 134188372800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242669542219).

134188372800 is an abundant number, since it is smaller than the sum of its proper divisors (351150711638).

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

134188372800 is a wasteful number, since it uses less digits than its factorization.

134188372800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2823 (or 2746 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 134188372800 in words is "one hundred thirty-four billion, one hundred eighty-eight million, three hundred seventy-two thousand, eight hundred".