133566090 has 128 divisors (see below), whose sum is σ = 379330560. Its totient is φ = 29472768.

The previous prime is 133566089. The next prime is 133566091. The reversal of 133566090 is 90665331.

It is an interprime number because it is at equal distance from previous prime (133566089) and next prime (133566091).

It is not an unprimeable number, because it can be changed into a prime (133566091) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1376922 + ... + 1377018.

It is an arithmetic number, because the mean of its divisors is an integer number (2963520).

Almost surely, 2^133566090 is an apocalyptic number.

133566090 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 133566090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189665280).

133566090 is an abundant number, since it is smaller than the sum of its proper divisors (245764470).

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

133566090 is a wasteful number, since it uses less digits than its factorization.

133566090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276.

The product of its (nonzero) digits is 14580, while the sum is 33.

The square root of 133566090 is about 11557.0796484233. The cubic root of 133566090 is about 511.1700548313.

The spelling of 133566090 in words is "one hundred thirty-three million, five hundred sixty-six thousand, ninety".