132201792 has 168 divisors, whose sum is σ = 419380416. Its totient is φ = 39604224.

The previous prime is 132201767. The next prime is 132201799. The reversal of 132201792 is 297102231.

It is a super-2 number, since 2×132201792² = 34954627616022528, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132201799) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 224923 + ... + 225509.

It is an arithmetic number, because the mean of its divisors is an integer number (2496312).

Almost surely, 2^132201792 is an apocalyptic number.

132201792 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 132201792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209690208).

132201792 is an abundant number, since it is smaller than the sum of its proper divisors (287178624).

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

132201792 is a wasteful number, since it uses less digits than its factorization.

132201792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 645 (or 632 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 132201792 is about 11497.9038089558. The cubic root of 132201792 is about 509.4236626675.

The spelling of 132201792 in words is "one hundred thirty-two million, two hundred one thousand, seven hundred ninety-two".