133485192 has 128 divisors (see below), whose sum is σ = 392313600. Its totient is φ = 41969664.

The previous prime is 133485181. The next prime is 133485193. The reversal of 133485192 is 291584331.

133485192 is a `hidden beast` number, since 133 + 4 + 8 + 519 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (133485193) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 481758 + ... + 482034.

It is an arithmetic number, because the mean of its divisors is an integer number (3064950).

Almost surely, 2^133485192 is an apocalyptic number.

133485192 is a gapful number since it is divisible by the number (12) 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 133485192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196156800).

133485192 is an abundant number, since it is smaller than the sum of its proper divisors (258828408).

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

133485192 is a wasteful number, since it uses less digits than its factorization.

133485192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 412 (or 402 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The square root of 133485192 is about 11553.5791856896. The cubic root of 133485192 is about 511.0668325571.

The spelling of 133485192 in words is "one hundred thirty-three million, four hundred eighty-five thousand, one hundred ninety-two".