132878592 has 324 divisors, whose sum is σ = 490731696. Its totient is φ = 34191360.

The previous prime is 132878591. The next prime is 132878597. The reversal of 132878592 is 295878231.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (132878591) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1241803 + ... + 1241909.

It is an arithmetic number, because the mean of its divisors is an integer number (1514604).

Almost surely, 2^132878592 is an apocalyptic number.

132878592 is a gapful number since it is divisible by the number (12) 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 132878592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245365848).

132878592 is an abundant number, since it is smaller than the sum of its proper divisors (357853104).

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

132878592 is a wasteful number, since it uses less digits than its factorization.

132878592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 130 counting only the distinct ones).

The product of its digits is 241920, while the sum is 45.

The square root of 132878592 is about 11527.2976885305. The cubic root of 132878592 is about 510.2915057831.

The spelling of 132878592 in words is "one hundred thirty-two million, eight hundred seventy-eight thousand, five hundred ninety-two".