134400059136 has 864 divisors, whose sum is σ = 488303424000. Its totient is φ = 35702194176.

The previous prime is 134400059117. The next prime is 134400059197. The reversal of 134400059136 is 631950004431.

134400059136 is a `hidden beast` number, since 1 + 34 + 4 + 0 + 0 + 0 + 591 + 36 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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

It is a self number, because there is not a number n which added to its sum of digits gives 134400059136.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1510112980 + ... + 1510113068.

It is an arithmetic number, because the mean of its divisors is an integer number (565166000).

Almost surely, 2^134400059136 is an apocalyptic number.

134400059136 is a gapful number since it is divisible by the number (16) 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 134400059136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244151712000).

134400059136 is an abundant number, since it is smaller than the sum of its proper divisors (353903364864).

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

134400059136 is an equidigital number, since it uses as much as digits as its factorization.

134400059136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 134400059136 in words is "one hundred thirty-four billion, four hundred million, fifty-nine thousand, one hundred thirty-six".