132146004816 has 60 divisors (see below), whose sum is σ = 422657463072. Its totient is φ = 37756001088.

The previous prime is 132146004811. The next prime is 132146004869. The reversal of 132146004816 is 618400641231.

132146004816 is a `hidden beast` number, since 1 + 3 + 2 + 1 + 4 + 600 + 48 + 1 + 6 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132146004811) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 65547606 + ... + 65549621.

Almost surely, 2^132146004816 is an apocalyptic number.

132146004816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

132146004816 is an abundant number, since it is smaller than the sum of its proper divisors (290511458256).

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

132146004816 is a wasteful number, since it uses less digits than its factorization.

132146004816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131097248 (or 131097239 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 132146004816 in words is "one hundred thirty-two billion, one hundred forty-six million, four thousand, eight hundred sixteen".