132077840 has 40 divisors (see below), whose sum is σ = 307848600. Its totient is φ = 52699136.

The previous prime is 132077833. The next prime is 132077843. The reversal of 132077840 is 48770231.

It is a happy number.

132077840 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 34621456 + 97456384 = 5884^2 + 9872^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 132077797 and 132077806.

It is not an unprimeable number, because it can be changed into a prime (132077843) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 34082 + ... + 37758.

It is an arithmetic number, because the mean of its divisors is an integer number (7696215).

Almost surely, 2^132077840 is an apocalyptic number.

132077840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132077840 is an abundant number, since it is smaller than the sum of its proper divisors (175770760).

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

132077840 is a wasteful number, since it uses less digits than its factorization.

132077840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4139 (or 4133 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 32.

The square root of 132077840 is about 11492.5123450010. The cubic root of 132077840 is about 509.2644015215.

The spelling of 132077840 in words is "one hundred thirty-two million, seventy-seven thousand, eight hundred forty".