132764128 has 72 divisors (see below), whose sum is σ = 306211752. Its totient is φ = 56496384.

The previous prime is 132764123. The next prime is 132764129. The reversal of 132764128 is 821467231.

It is a junction number, because it is equal to n+sod(n) for n = 132764093 and 132764102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132764123) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 355750 + ... + 356122.

It is an arithmetic number, because the mean of its divisors is an integer number (4252941).

Almost surely, 2^132764128 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 132764128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153105876).

132764128 is an abundant number, since it is smaller than the sum of its proper divisors (173447624).

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

132764128 is a wasteful number, since it uses less digits than its factorization.

132764128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 624 (or 609 counting only the distinct ones).

The product of its digits is 16128, while the sum is 34.

The square root of 132764128 is about 11522.3317084694. The cubic root of 132764128 is about 510.1449389412.

The spelling of 132764128 in words is "one hundred thirty-two million, seven hundred sixty-four thousand, one hundred twenty-eight".