132778512 has 30 divisors (see below), whose sum is σ = 371595822. Its totient is φ = 44259456.

The previous prime is 132778507. The next prime is 132778531. The reversal of 132778512 is 215877231.

132778512 is a `hidden beast` number, since 132 + 7 + 7 + 8 + 512 = 666.

132778512 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 only one way, i.e., 98485776 + 34292736 = 9924^2 + 5856^2 .

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

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 5 ways as a sum of consecutive naturals, for example, 460893 + ... + 461180.

Almost surely, 2^132778512 is an apocalyptic number.

132778512 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

132778512 is an abundant number, since it is smaller than the sum of its proper divisors (238817310).

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

132778512 is a wasteful number, since it uses less digits than its factorization.

132778512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 922087 (or 922078 counting only the distinct ones).

The product of its digits is 23520, while the sum is 36.

The square root of 132778512 is about 11522.9558707825. The cubic root of 132778512 is about 510.1633617384.

The spelling of 132778512 in words is "one hundred thirty-two million, seven hundred seventy-eight thousand, five hundred twelve".