134852148076800 has 1728 divisors, whose sum is σ = 573423266562048. Its totient is φ = 27085639680000.

The previous prime is 134852148076771. The next prime is 134852148076879. The reversal of 134852148076800 is 8670841258431.

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 73649451885 + ... + 73649453715.

Almost surely, 2^{134852148076800} is an apocalyptic number.

134852148076800 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 134852148076800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286711633281024).

134852148076800 is an abundant number, since it is smaller than the sum of its proper divisors (438571118485248).

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

134852148076800 is a wasteful number, since it uses less digits than its factorization.

134852148076800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3516 (or 3497 counting only the distinct ones).

The product of its (nonzero) digits is 10321920, while the sum is 57.

The spelling of 134852148076800 in words is "one hundred thirty-four trillion, eight hundred fifty-two billion, one hundred forty-eight million, seventy-six thousand, eight hundred".