134055165600 has 216 divisors, whose sum is σ = 473181394140. Its totient is φ = 35712552960.

The previous prime is 134055165599. The next prime is 134055165691. The reversal of 134055165600 is 6561550431.

134055165600 is a `hidden beast` number, since 1 + 3 + 40 + 5 + 5 + 1 + 6 + 5 + 600 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 82054748304 + 52000417296 = 286452^2 + 228036^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7688092 + ... + 7705508.

Almost surely, 2^134055165600 is an apocalyptic number.

134055165600 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 134055165600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236590697070).

134055165600 is an abundant number, since it is smaller than the sum of its proper divisors (339126228540).

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

134055165600 is a wasteful number, since it uses less digits than its factorization.

134055165600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18512 (or 18496 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

The spelling of 134055165600 in words is "one hundred thirty-four billion, fifty-five million, one hundred sixty-five thousand, six hundred".