133812000 has 480 divisors, whose sum is σ = 570810240. Its totient is φ = 30067200.

The previous prime is 133811939. The next prime is 133812011. The reversal of 133812000 is 218331.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 15.

It is a zygodrome in base 15.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2267971 + ... + 2268029.

It is an arithmetic number, because the mean of its divisors is an integer number (1189188).

Almost surely, 2^133812000 is an apocalyptic number.

133812000 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 133812000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285405120).

133812000 is an abundant number, since it is smaller than the sum of its proper divisors (436998240).

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

133812000 is an equidigital number, since it uses as much as digits as its factorization.

133812000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 133812000 is about 11567.7136894029. The cubic root of 133812000 is about 511.4835694450.

The spelling of 133812000 in words is "one hundred thirty-three million, eight hundred twelve thousand".