134811872000 has 144 divisors (see below), whose sum is σ = 361667665632. Its totient is φ = 49776537600.

The previous prime is 134811871991. The next prime is 134811872009. The reversal of 134811872000 is 278118431.

It is an interprime number because it is at equal distance from previous prime (134811871991) and next prime (134811872009).

It is not an unprimeable number, because it can be changed into a prime (134811872009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 253967 + ... + 578033.

Almost surely, 2^134811872000 is an apocalyptic number.

134811872000 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 134811872000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180833832816).

134811872000 is an abundant number, since it is smaller than the sum of its proper divisors (226855793632).

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

134811872000 is an equidigital number, since it uses as much as digits as its factorization.

134811872000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324111 (or 324087 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 35.

The spelling of 134811872000 in words is "one hundred thirty-four billion, eight hundred eleven million, eight hundred seventy-two thousand".