133006090 has 36 divisors (see below), whose sum is σ = 279034038. Its totient is φ = 45514560.

The previous prime is 133006087. The next prime is 133006117. The reversal of 133006090 is 90600331.

It can be written as a sum of positive squares in 3 ways, for example, as 79905721 + 53100369 = 8939^2 + 7287^2 .

It is a hoax number, since the sum of its digits (22) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 255030 + ... + 255550.

Almost surely, 2^133006090 is an apocalyptic number.

133006090 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

133006090 is an abundant number, since it is smaller than the sum of its proper divisors (146027948).

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

133006090 is an frugal number, since it uses more digits than its factorization.

133006090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1063 (or 535 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 22.

The square root of 133006090 is about 11532.8266266341. The cubic root of 133006090 is about 510.4546631124.

The spelling of 133006090 in words is "one hundred thirty-three million, six thousand, ninety".