132147840 has 128 divisors (see below), whose sum is σ = 459587520. Its totient is φ = 32030720.

The previous prime is 132147833. The next prime is 132147863. The reversal of 132147840 is 48741231.

132147840 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 132147798 and 132147807.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17992 + ... + 24248.

Almost surely, 2^132147840 is an apocalyptic number.

132147840 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 132147840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229793760).

132147840 is an abundant number, since it is smaller than the sum of its proper divisors (327439680).

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

132147840 is a wasteful number, since it uses less digits than its factorization.

132147840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6290 (or 6278 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 132147840 is about 11495.5574027535. The cubic root of 132147840 is about 509.3543540630.

The spelling of 132147840 in words is "one hundred thirty-two million, one hundred forty-seven thousand, eight hundred forty".