132468864 has 96 divisors (see below), whose sum is σ = 386902320. Its totient is φ = 40128000.

The previous prime is 132468841. The next prime is 132468901. The reversal of 132468864 is 468864231.

It is a tau number, because it is divible by the number of its divisors (96).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 45039 + ... + 47889.

Almost surely, 2^132468864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132468864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193451160).

132468864 is an abundant number, since it is smaller than the sum of its proper divisors (254433456).

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

132468864 is a wasteful number, since it uses less digits than its factorization.

132468864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2890 (or 2867 counting only the distinct ones).

The product of its digits is 221184, while the sum is 42.

The square root of 132468864 is about 11509.5118923437. The cubic root of 132468864 is about 509.7664751710.

It can be divided in two parts, 132 and 468864, that added together give a triangular number (468996 = T₉₆₈).

The spelling of 132468864 in words is "one hundred thirty-two million, four hundred sixty-eight thousand, eight hundred sixty-four".