134053678598400 has 1296 divisors, whose sum is σ = 543784702843200. Its totient is φ = 32403301171200.

The previous prime is 134053678598377. The next prime is 134053678598503. The reversal of 134053678598400 is 4895876350431.

134053678598400 is a `hidden beast` number, since 1 + 3 + 4 + 0 + 5 + 3 + 67 + 85 + 98 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (1296).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 5970401574 + ... + 5970424026.

Almost surely, 2^{134053678598400} is an apocalyptic number.

134053678598400 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 134053678598400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271892351421600).

134053678598400 is an abundant number, since it is smaller than the sum of its proper divisors (409731024244800).

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

134053678598400 is a wasteful number, since it uses less digits than its factorization.

134053678598400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22854 (or 22823 counting only the distinct ones).

The product of its (nonzero) digits is 87091200, while the sum is 63.

The spelling of 134053678598400 in words is "one hundred thirty-four trillion, fifty-three billion, six hundred seventy-eight million, five hundred ninety-eight thousand, four hundred".