132177536 has 64 divisors (see below), whose sum is σ = 272609280. Its totient is φ = 63802368.

The previous prime is 132177517. The next prime is 132177553. The reversal of 132177536 is 635771231.

132177536 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 132177496 and 132177505.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 763946 + ... + 764118.

It is an arithmetic number, because the mean of its divisors is an integer number (4259520).

Almost surely, 2^132177536 is an apocalyptic number.

132177536 is a gapful number since it is divisible by the number (16) 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 132177536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136304640).

132177536 is an abundant number, since it is smaller than the sum of its proper divisors (140431744).

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

132177536 is a wasteful number, since it uses less digits than its factorization.

132177536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 361 (or 349 counting only the distinct ones).

The product of its digits is 26460, while the sum is 35.

The square root of 132177536 is about 11496.8489596063. The cubic root of 132177536 is about 509.3925049048.

The spelling of 132177536 in words is "one hundred thirty-two million, one hundred seventy-seven thousand, five hundred thirty-six".