132433920 has 192 divisors, whose sum is σ = 471744000. Its totient is φ = 35241984.

The previous prime is 132433919. The next prime is 132433969. The reversal of 132433920 is 29334231.

It is a happy number.

132433920 is a `hidden beast` number, since 1 + 324 + 339 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 8.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 276241 + ... + 276719.

It is an arithmetic number, because the mean of its divisors is an integer number (2457000).

Almost surely, 2^132433920 is an apocalyptic number.

132433920 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 132433920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235872000).

132433920 is an abundant number, since it is smaller than the sum of its proper divisors (339310080).

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

132433920 is an equidigital number, since it uses as much as digits as its factorization.

132433920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 515 (or 489 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 132433920 is about 11507.9937434811. The cubic root of 132433920 is about 509.7216474137.

The spelling of 132433920 in words is "one hundred thirty-two million, four hundred thirty-three thousand, nine hundred twenty".