133766325 has 108 divisors (see below), whose sum is σ = 304319808. Its totient is φ = 55540800.

The previous prime is 133766323. The next prime is 133766341. The reversal of 133766325 is 523667331.

133766325 is a `hidden beast` number, since 13 + 3 + 7 + 6 + 632 + 5 = 666.

It is not a de Polignac number, because 133766325 - 2¹ = 133766323 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 133766325.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133766323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 120724 + ... + 121826.

It is an arithmetic number, because the mean of its divisors is an integer number (2817776).

Almost surely, 2^133766325 is an apocalyptic number.

133766325 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

133766325 is an abundant number, since it is smaller than the sum of its proper divisors (170553483).

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

133766325 is a wasteful number, since it uses less digits than its factorization.

133766325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1144 (or 1129 counting only the distinct ones).

The product of its digits is 68040, while the sum is 36.

The square root of 133766325 is about 11565.7392759823. The cubic root of 133766325 is about 511.4253667161.

It can be divided in two parts, 13376 and 6325, that added together give a triangular number (19701 = T₁₉₈).

The spelling of 133766325 in words is "one hundred thirty-three million, seven hundred sixty-six thousand, three hundred twenty-five".