132238920 has 256 divisors, whose sum is σ = 470292480. Its totient is φ = 29388800.

The previous prime is 132238913. The next prime is 132238921. The reversal of 132238920 is 29832231.

It is a happy number.

It is a super-3 number, since 3×132238920³ (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (132238921) 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, 1593199 + ... + 1593281.

It is an arithmetic number, because the mean of its divisors is an integer number (1837080).

Almost surely, 2^132238920 is an apocalyptic number.

132238920 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 132238920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235146240).

132238920 is an abundant number, since it is smaller than the sum of its proper divisors (338053560).

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

132238920 is a wasteful number, since it uses less digits than its factorization.

132238920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 132238920 is about 11499.5182507790. The cubic root of 132238920 is about 509.4713476273.

The spelling of 132238920 in words is "one hundred thirty-two million, two hundred thirty-eight thousand, nine hundred twenty".