133531555536200 has 384 divisors, whose sum is σ = 333157621860000. Its totient is φ = 49679538585600.

The previous prime is 133531555536101. The next prime is 133531555536217. The reversal of 133531555536200 is 2635555135331.

It is a happy number.

It can be written as a sum of positive squares in 48 ways, for example, as 58388212523524 + 75143343012676 = 7641218^2 + 8668526^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10356896954 + ... + 10356909846.

Almost surely, 2^{133531555536200} is an apocalyptic number.

133531555536200 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 133531555536200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166578810930000).

133531555536200 is an abundant number, since it is smaller than the sum of its proper divisors (199626066323800).

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

133531555536200 is a wasteful number, since it uses less digits than its factorization.

133531555536200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13525 (or 13516 counting only the distinct ones).

The product of its (nonzero) digits is 3037500, while the sum is 47.

The spelling of 133531555536200 in words is "one hundred thirty-three trillion, five hundred thirty-one billion, five hundred fifty-five million, five hundred thirty-six thousand, two hundred".