133883758400 has 756 divisors, whose sum is σ = 429895833120. Its totient is φ = 40797388800.

The previous prime is 133883758369. The next prime is 133883758423. The reversal of 133883758400 is 4857388331.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (50).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 430494245 + ... + 430494555.

Almost surely, 2^133883758400 is an apocalyptic number.

133883758400 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 133883758400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214947916560).

133883758400 is an abundant number, since it is smaller than the sum of its proper divisors (296012074720).

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

133883758400 is a wasteful number, since it uses less digits than its factorization.

133883758400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 400 (or 361 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 50.

The spelling of 133883758400 in words is "one hundred thirty-three billion, eight hundred eighty-three million, seven hundred fifty-eight thousand, four hundred".