132045536 has 48 divisors (see below), whose sum is σ = 298295424. Its totient is φ = 56363904.

The previous prime is 132045533. The next prime is 132045559. The reversal of 132045536 is 635540231.

It is a junction number, because it is equal to n+sod(n) for n = 132045499 and 132045508.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132045533) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 62351 + ... + 64433.

It is an arithmetic number, because the mean of its divisors is an integer number (6214488).

Almost surely, 2^132045536 is an apocalyptic number.

132045536 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 132045536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149147712).

132045536 is an abundant number, since it is smaller than the sum of its proper divisors (166249888).

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

132045536 is a wasteful number, since it uses less digits than its factorization.

132045536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2383 (or 2375 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 29.

The square root of 132045536 is about 11491.1068222343. The cubic root of 132045536 is about 509.2228789904. Note that the first 3 decimals are identical.

Adding to 132045536 its reverse (635540231), we get a palindrome (767585767).

The spelling of 132045536 in words is "one hundred thirty-two million, forty-five thousand, five hundred thirty-six".