134312256000 has 800 divisors, whose sum is σ = 539062091568. Its totient is φ = 33044889600.

The previous prime is 134312255999. The next prime is 134312256019. The reversal of 134312256000 is 652213431.

134312256000 is a `hidden beast` number, since 1 + 3 + 4 + 31 + 2 + 25 + 600 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1478248704 + 132834007296 = 38448^2 + 364464^2 .

It is a tau number, because it is divible by the number of its divisors (800).

It is a super-5 number, since 5×134312256000⁵ (a number of 57 digits) contains 55555 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 67391004 + ... + 67392996.

Almost surely, 2^134312256000 is an apocalyptic number.

134312256000 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 134312256000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269531045784).

134312256000 is an abundant number, since it is smaller than the sum of its proper divisors (404749835568).

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

134312256000 is an equidigital number, since it uses as much as digits as its factorization.

134312256000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2051 (or 2016 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 134312256000 its reverse (652213431), we get a palindrome (134964469431).

The spelling of 134312256000 in words is "one hundred thirty-four billion, three hundred twelve million, two hundred fifty-six thousand".