133136451200 has 96 divisors (see below), whose sum is σ = 330061291020. Its totient is φ = 53064704000.

The previous prime is 133136451169. The next prime is 133136451221. The reversal of 133136451200 is 2154631331.

It can be written as a sum of positive squares in 6 ways, for example, as 37694999104 + 95441452096 = 194152^2 + 308936^2 .

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 11 ways as a sum of consecutive naturals, for example, 825170 + ... + 973230.

Almost surely, 2^133136451200 is an apocalyptic number.

133136451200 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 133136451200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165030645510).

133136451200 is an abundant number, since it is smaller than the sum of its proper divisors (196924839820).

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

133136451200 is a wasteful number, since it uses less digits than its factorization.

133136451200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148366 (or 148349 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 29.

The spelling of 133136451200 in words is "one hundred thirty-three billion, one hundred thirty-six million, four hundred fifty-one thousand, two hundred".