132436080 has 320 divisors, whose sum is σ = 549964800. Its totient is φ = 28615680.

The previous prime is 132436067. The next prime is 132436091. The reversal of 132436080 is 80634231.

It is a happy number.

132436080 is a `hidden beast` number, since 13 + 2 + 43 + 608 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 287050 + ... + 287510.

It is an arithmetic number, because the mean of its divisors is an integer number (1718640).

Almost surely, 2^132436080 is an apocalyptic number.

132436080 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 132436080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274982400).

132436080 is an abundant number, since it is smaller than the sum of its proper divisors (417528720).

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

132436080 is a wasteful number, since it uses less digits than its factorization.

132436080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 509 (or 497 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 132436080 is about 11508.0875909075. The cubic root of 132436080 is about 509.7244185889.

The spelling of 132436080 in words is "one hundred thirty-two million, four hundred thirty-six thousand, eighty".