133387800 has 288 divisors, whose sum is σ = 519498000. Its totient is φ = 28062720.

The previous prime is 133387777. The next prime is 133387811. The reversal of 133387800 is 8783331.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 382026 + ... + 382374.

Almost surely, 2^133387800 is an apocalyptic number.

133387800 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 133387800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259749000).

133387800 is an abundant number, since it is smaller than the sum of its proper divisors (386110200).

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

133387800 is a wasteful number, since it uses less digits than its factorization.

133387800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 395 (or 379 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 133387800 is about 11549.3636188320. The cubic root of 133387800 is about 510.9425093263.

The spelling of 133387800 in words is "one hundred thirty-three million, three hundred eighty-seven thousand, eight hundred".