132765510 has 64 divisors (see below), whose sum is σ = 329598720. Its totient is φ = 34204800.

The previous prime is 132765481. The next prime is 132765539. The reversal of 132765510 is 15567231.

It is an interprime number because it is at equal distance from previous prime (132765481) and next prime (132765539).

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 129781 + ... + 130799.

It is an arithmetic number, because the mean of its divisors is an integer number (5149980).

Almost surely, 2^132765510 is an apocalyptic number.

132765510 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 132765510, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164799360).

132765510 is an abundant number, since it is smaller than the sum of its proper divisors (196833210).

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

132765510 is a wasteful number, since it uses less digits than its factorization.

132765510 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1173.

The product of its (nonzero) digits is 6300, while the sum is 30.

The square root of 132765510 is about 11522.3916788139. The cubic root of 132765510 is about 510.1467090424.

The spelling of 132765510 in words is "one hundred thirty-two million, seven hundred sixty-five thousand, five hundred ten".