132988229280 has 288 divisors, whose sum is σ = 469274577408. Its totient is φ = 34260019200.

The previous prime is 132988229267. The next prime is 132988229287. The reversal of 132988229280 is 82922889231.

132988229280 is a `hidden beast` number, since 132 + 9 + 8 + 8 + 229 + 280 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (132988229287) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29504787 + ... + 29509293.

It is an arithmetic number, because the mean of its divisors is an integer number (1629425616).

Almost surely, 2^132988229280 is an apocalyptic number.

132988229280 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 132988229280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234637288704).

132988229280 is an abundant number, since it is smaller than the sum of its proper divisors (336286348128).

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

132988229280 is a wasteful number, since it uses less digits than its factorization.

132988229280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5220 (or 5209 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 54.

The spelling of 132988229280 in words is "one hundred thirty-two billion, nine hundred eighty-eight million, two hundred twenty-nine thousand, two hundred eighty".