133406172 has 36 divisors (see below), whose sum is σ = 337591800. Its totient is φ = 44419872.

The previous prime is 133406171. The next prime is 133406183. The reversal of 133406172 is 271604331.

133406172 is a `hidden beast` number, since 1 + 3 + 3 + 40 + 617 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133406171) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 48079 + ... + 50777.

It is an arithmetic number, because the mean of its divisors is an integer number (9377550).

Almost surely, 2^133406172 is an apocalyptic number.

133406172 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

133406172 is an abundant number, since it is smaller than the sum of its proper divisors (204185628).

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

133406172 is a wasteful number, since it uses less digits than its factorization.

133406172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4082 (or 4077 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 133406172 is about 11550.1589599451. The cubic root of 133406172 is about 510.9659662562.

The spelling of 133406172 in words is "one hundred thirty-three million, four hundred six thousand, one hundred seventy-two".