133492800 has 336 divisors, whose sum is σ = 521573760. Its totient is φ = 29245440.

The previous prime is 133492787. The next prime is 133492813. The reversal of 133492800 is 8294331.

It is an interprime number because it is at equal distance from previous prime (133492787) and next prime (133492813).

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 974332 + ... + 974468.

Almost surely, 2^133492800 is an apocalyptic number.

133492800 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 133492800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260786880).

133492800 is an abundant number, since it is smaller than the sum of its proper divisors (388080960).

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

133492800 is a wasteful number, since it uses less digits than its factorization.

133492800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 133492800 is about 11553.9084296181. The cubic root of 133492800 is about 511.0765418053.

The spelling of 133492800 in words is "one hundred thirty-three million, four hundred ninety-two thousand, eight hundred".