133073340400 has 960 divisors, whose sum is σ = 452323049472. Its totient is φ = 36288000000.

The previous prime is 133073340311. The next prime is 133073340403. The reversal of 133073340400 is 4043370331.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133073340403) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 881280325 + ... + 881280475.

Almost surely, 2^133073340400 is an apocalyptic number.

133073340400 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 133073340400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226161524736).

133073340400 is an abundant number, since it is smaller than the sum of its proper divisors (319249709072).

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

133073340400 is a wasteful number, since it uses less digits than its factorization.

133073340400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 28.

The spelling of 133073340400 in words is "one hundred thirty-three billion, seventy-three million, three hundred forty thousand, four hundred".