134618400 has 216 divisors, whose sum is σ = 542715264. Its totient is φ = 30758400.

The previous prime is 134618383. The next prime is 134618441. The reversal of 134618400 is 4816431.

134618400 is a `hidden beast` number, since 1 + 3 + 4 + 618 + 40 + 0 = 666.

It is a super-2 number, since 2×134618400² = 36244227237120000, which contains 22 as substring.

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, 49065 + ... + 51735.

Almost surely, 2^134618400 is an apocalyptic number.

134618400 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 134618400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271357632).

134618400 is an abundant number, since it is smaller than the sum of its proper divisors (408096864).

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

134618400 is a wasteful number, since it uses less digits than its factorization.

134618400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2704 (or 2688 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 134618400 is about 11602.5169683134. The cubic root of 134618400 is about 512.5089746594.

The spelling of 134618400 in words is "one hundred thirty-four million, six hundred eighteen thousand, four hundred".