132840000 has 350 divisors, whose sum is σ = 504068334. Its totient is φ = 34560000.

The previous prime is 132839977. The next prime is 132840011. The reversal of 132840000 is 48231.

It is a happy number.

It can be written as a sum of positive squares in 5 ways, for example, as 88962624 + 43877376 = 9432^2 + 6624^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 49 ways as a sum of consecutive naturals, for example, 3239980 + ... + 3240020.

Almost surely, 2^132840000 is an apocalyptic number.

132840000 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 132840000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252034167).

132840000 is an abundant number, since it is smaller than the sum of its proper divisors (371228334).

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

132840000 is an frugal number, since it uses more digits than its factorization.

132840000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 132840000 is about 11525.6236273791. The cubic root of 132840000 is about 510.2420995888.

Adding to 132840000 its reverse (48231), we get a palindrome (132888231).

It can be divided in two parts, 1328 and 40000, that added together give a triangular number (41328 = T₂₈₇).

The spelling of 132840000 in words is "one hundred thirty-two million, eight hundred forty thousand".