132295020 has 192 divisors, whose sum is σ = 461293056. Its totient is φ = 27832320.

The previous prime is 132294997. The next prime is 132295021. The reversal of 132295020 is 20592231.

It is a super-3 number, since 3×132295020³ (a number of 25 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (132295021) 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, 145407 + ... + 146313.

It is an arithmetic number, because the mean of its divisors is an integer number (2402568).

Almost surely, 2^132295020 is an apocalyptic number.

132295020 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 132295020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230646528).

132295020 is an abundant number, since it is smaller than the sum of its proper divisors (328998036).

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

132295020 is a wasteful number, since it uses less digits than its factorization.

132295020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 960 (or 958 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 132295020 is about 11501.9572247509. The cubic root of 132295020 is about 509.5433821484.

The spelling of 132295020 in words is "one hundred thirty-two million, two hundred ninety-five thousand, twenty".