132090000 has 400 divisors, whose sum is σ = 529930368. Its totient is φ = 27648000.

The previous prime is 132089959. The next prime is 132090011. The reversal of 132090000 is 90231.

132090000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3569982 + ... + 3570018.

Almost surely, 2^132090000 is an apocalyptic number.

132090000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132090000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264965184).

132090000 is an abundant number, since it is smaller than the sum of its proper divisors (397840368).

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

132090000 is a wasteful number, since it uses less digits than its factorization.

132090000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

The square root of 132090000 is about 11493.0413729352. The cubic root of 132090000 is about 509.2800298436.

The spelling of 132090000 in words is "one hundred thirty-two million, ninety thousand".