133192000 has 56 divisors (see below), whose sum is σ = 329869800. Its totient is φ = 53273600.

The previous prime is 133191997. The next prime is 133192051. The reversal of 133192000 is 291331.

It can be written as a sum of positive squares in 4 ways, for example, as 665856 + 132526144 = 816^2 + 11512^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 325 + ... + 16324.

Almost surely, 2^133192000 is an apocalyptic number.

133192000 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 133192000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164934900).

133192000 is an abundant number, since it is smaller than the sum of its proper divisors (196677800).

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

133192000 is an equidigital number, since it uses as much as digits as its factorization.

133192000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16676 (or 16656 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 19.

The square root of 133192000 is about 11540.8838483021. The cubic root of 133192000 is about 510.6923826677.

The spelling of 133192000 in words is "one hundred thirty-three million, one hundred ninety-two thousand".