132345864 has 192 divisors, whose sum is σ = 438048000. Its totient is φ = 36013824.

The previous prime is 132345859. The next prime is 132345869. The reversal of 132345864 is 468543231.

It is an interprime number because it is at equal distance from previous prime (132345859) and next prime (132345869).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132345869) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 567892 + ... + 568124.

It is an arithmetic number, because the mean of its divisors is an integer number (2281500).

Almost surely, 2^132345864 is an apocalyptic number.

132345864 is a gapful number since it is divisible by the number (14) 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 132345864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219024000).

132345864 is an abundant number, since it is smaller than the sum of its proper divisors (305702136).

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

132345864 is a wasteful number, since it uses less digits than its factorization.

132345864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289 (or 268 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 132345864 is about 11504.1672449595. The cubic root of 132345864 is about 509.6086501772.

The spelling of 132345864 in words is "one hundred thirty-two million, three hundred forty-five thousand, eight hundred sixty-four".