132312000 has 224 divisors, whose sum is σ = 451713600. Its totient is φ = 34099200.

The previous prime is 132311987. The next prime is 132312013. The reversal of 132312000 is 213231.

It is a happy number.

132312000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (132311987) and next prime (132312013).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 887926 + ... + 888074.

Almost surely, 2^132312000 is an apocalyptic number.

132312000 is a gapful number since it is divisible by the number (10) 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 132312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225856800).

132312000 is an abundant number, since it is smaller than the sum of its proper divisors (319401600).

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

132312000 is a wasteful number, since it uses less digits than its factorization.

132312000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 132312000 is about 11502.6953363114. The cubic root of 132312000 is about 509.5651810957.

Adding to 132312000 its reverse (213231), we get a palindrome (132525231).

The spelling of 132312000 in words is "one hundred thirty-two million, three hundred twelve thousand".