132346872 has 160 divisors (see below), whose sum is σ = 428630400. Its totient is φ = 37371456.

The previous prime is 132346871. The next prime is 132346873. The reversal of 132346872 is 278643231.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (132346871) and next prime (132346873).

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132346871) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 739279 + ... + 739457.

It is an arithmetic number, because the mean of its divisors is an integer number (2678940).

Almost surely, 2^132346872 is an apocalyptic number.

132346872 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 132346872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214315200).

132346872 is an abundant number, since it is smaller than the sum of its proper divisors (296283528).

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

132346872 is a wasteful number, since it uses less digits than its factorization.

132346872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 367 (or 354 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 132346872 is about 11504.2110550876. The cubic root of 132346872 is about 509.6099439696.

The spelling of 132346872 in words is "one hundred thirty-two million, three hundred forty-six thousand, eight hundred seventy-two".