134055460800 has 126 divisors (see below), whose sum is σ = 476464810848. Its totient is φ = 35748119040.

The previous prime is 134055460753. The next prime is 134055460807. The reversal of 134055460800 is 8064550431.

It is a happy number.

134055460800 is a `hidden beast` number, since 1 + 3 + 40 + 5 + 5 + 4 + 608 + 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 not an unprimeable number, because it can be changed into a prime (134055460807) by changing a digit.

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 17 ways as a sum of consecutive naturals, for example, 4640304 + ... + 4669103.

Almost surely, 2^134055460800 is an apocalyptic number.

134055460800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

134055460800 is an abundant number, since it is smaller than the sum of its proper divisors (342409350048).

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

134055460800 is a wasteful number, since it uses less digits than its factorization.

134055460800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9309435 (or 9309417 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 134055460800 in words is "one hundred thirty-four billion, fifty-five million, four hundred sixty thousand, eight hundred".