132641280 has 320 divisors, whose sum is σ = 500860800. Its totient is φ = 33177600.

The previous prime is 132641233. The next prime is 132641291. The reversal of 132641280 is 82146231.

132641280 is a `hidden beast` number, since 13 + 2 + 641 + 2 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

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 polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1313230 + ... + 1313330.

It is an arithmetic number, because the mean of its divisors is an integer number (1565190).

Almost surely, 2^132641280 is an apocalyptic number.

132641280 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 132641280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250430400).

132641280 is an abundant number, since it is smaller than the sum of its proper divisors (368219520).

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

132641280 is a wasteful number, since it uses less digits than its factorization.

132641280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 132641280 is about 11516.9996092732. Note that the first 3 decimals coincide. The cubic root of 132641280 is about 509.9875429483.

The spelling of 132641280 in words is "one hundred thirty-two million, six hundred forty-one thousand, two hundred eighty".