134127352800 has 432 divisors, whose sum is σ = 557976287232. Its totient is φ = 29668377600.

The previous prime is 134127352771. The next prime is 134127352813. The reversal of 134127352800 is 8253721431.

134127352800 is a `hidden beast` number, since 1 + 3 + 4 + 127 + 3 + 528 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1519477 + ... + 1605323.

It is an arithmetic number, because the mean of its divisors is an integer number (1291611776).

Almost surely, 2^134127352800 is an apocalyptic number.

134127352800 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 134127352800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278988143616).

134127352800 is an abundant number, since it is smaller than the sum of its proper divisors (423848934432).

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

134127352800 is a wasteful number, since it uses less digits than its factorization.

134127352800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85911 (or 85895 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 134127352800 in words is "one hundred thirty-four billion, one hundred twenty-seven million, three hundred fifty-two thousand, eight hundred".