133492905 has 72 divisors (see below), whose sum is σ = 289932552. Its totient is φ = 56318976.

The previous prime is 133492903. The next prime is 133492907. The reversal of 133492905 is 509294331.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (133492903) and next prime (133492907).

It can be written as a sum of positive squares in 4 ways, for example, as 1058841 + 132434064 = 1029^2 + 11508^2 .

It is not a de Polignac number, because 133492905 - 2¹ = 133492903 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 133492905.

It is not an unprimeable number, because it can be changed into a prime (133492901) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 26337 + ... + 30993.

It is an arithmetic number, because the mean of its divisors is an integer number (4026841).

Almost surely, 2^133492905 is an apocalyptic number.

133492905 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

133492905 is an abundant number, since it is smaller than the sum of its proper divisors (156439647).

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

133492905 is a wasteful number, since it uses less digits than its factorization.

133492905 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4695 (or 4685 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The square root of 133492905 is about 11553.9129735341. The cubic root of 133492905 is about 511.0766758026.

The spelling of 133492905 in words is "one hundred thirty-three million, four hundred ninety-two thousand, nine hundred five".