133590 has 32 divisors (see below), whose sum is σ = 330336. Its totient is φ = 34560.

The previous prime is 133583. The next prime is 133597. The reversal of 133590 is 95331.

It is an interprime number because it is at equal distance from previous prime (133583) and next prime (133597).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133597) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1794 + ... + 1866.

It is an arithmetic number, because the mean of its divisors is an integer number (10323).

2¹³³⁵⁹⁰ is an apocalyptic number.

133590 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a pronic number, being equal to 365×366.

It is a practical number, because each smaller number is the sum of distinct divisors of 133590, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165168).

133590 is an abundant number, since it is smaller than the sum of its proper divisors (196746).

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

133590 is a wasteful number, since it uses less digits than its factorization.

133590 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144.

The product of its (nonzero) digits is 405, while the sum is 21.

The square root of 133590 is about 365.4996580026. The cubic root of 133590 is about 51.1200554955.

The spelling of 133590 in words is "one hundred thirty-three thousand, five hundred ninety".