133147267400400 has 120 divisors (see below), whose sum is σ = 465289178125344. Its totient is φ = 32278125427200.

The previous prime is 133147267400393. The next prime is 133147267400401. The reversal of 133147267400400 is 4004762741331.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133147267400401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5043443899 + ... + 5043470298.

Almost surely, 2^{133147267400400} is an apocalyptic number.

133147267400400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133147267400400 is an abundant number, since it is smaller than the sum of its proper divisors (332141910724944).

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

133147267400400 is a wasteful number, since it uses less digits than its factorization.

133147267400400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10086914229 (or 10086914218 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 42.

The spelling of 133147267400400 in words is "one hundred thirty-three trillion, one hundred forty-seven billion, two hundred sixty-seven million, four hundred thousand, four hundred".