132688752 has 80 divisors (see below), whose sum is σ = 395450880. Its totient is φ = 37552896.

The previous prime is 132688741. The next prime is 132688763. The reversal of 132688752 is 257886231.

It is an interprime number because it is at equal distance from previous prime (132688741) and next prime (132688763).

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34813 + ... + 38435.

It is an arithmetic number, because the mean of its divisors is an integer number (4943136).

Almost surely, 2^132688752 is an apocalyptic number.

132688752 is a gapful number since it is divisible by the number (12) 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 132688752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197725440).

132688752 is an abundant number, since it is smaller than the sum of its proper divisors (262762128).

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

132688752 is a wasteful number, since it uses less digits than its factorization.

132688752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3750 (or 3744 counting only the distinct ones).

The product of its digits is 161280, while the sum is 42.

The square root of 132688752 is about 11519.0603783468. The cubic root of 132688752 is about 510.0483768028.

The spelling of 132688752 in words is "one hundred thirty-two million, six hundred eighty-eight thousand, seven hundred fifty-two".