132206256 has 400 divisors, whose sum is σ = 504134400. Its totient is φ = 32472576.

The previous prime is 132206251. The next prime is 132206257. The reversal of 132206256 is 652602231.

132206256 is a `hidden beast` number, since 1 + 32 + 2 + 0 + 625 + 6 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (132206251) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2240755 + ... + 2240813.

It is an arithmetic number, because the mean of its divisors is an integer number (1260336).

Almost surely, 2^132206256 is an apocalyptic number.

132206256 is a gapful number since it is divisible by the number (16) 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 132206256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252067200).

132206256 is an abundant number, since it is smaller than the sum of its proper divisors (371928144).

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

132206256 is a wasteful number, since it uses less digits than its factorization.

132206256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 132206256 is about 11498.0979296578. The cubic root of 132206256 is about 509.4293964315.

Adding to 132206256 its reverse (652602231), we get a palindrome (784808487).

The spelling of 132206256 in words is "one hundred thirty-two million, two hundred six thousand, two hundred fifty-six".