134887906800 has 600 divisors, whose sum is σ = 521534238720. Its totient is φ = 33290611200.

The previous prime is 134887906753. The next prime is 134887906859. The reversal of 134887906800 is 8609788431.

134887906800 is a `hidden beast` number, since 13 + 488 + 7 + 90 + 68 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (600).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

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 119 ways as a sum of consecutive naturals, for example, 23098281 + ... + 23104119.

Almost surely, 2^134887906800 is an apocalyptic number.

134887906800 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 134887906800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260767119360).

134887906800 is an abundant number, since it is smaller than the sum of its proper divisors (386646331920).

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

134887906800 is a wasteful number, since it uses less digits than its factorization.

134887906800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5923 (or 5903 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 134887906800 in words is "one hundred thirty-four billion, eight hundred eighty-seven million, nine hundred six thousand, eight hundred".