132288908544576 has 336 divisors, whose sum is σ = 442833890763264. Its totient is φ = 36970703106048.

The previous prime is 132288908544571. The next prime is 132288908544593. The reversal of 132288908544576 is 675445809882231.

132288908544576 is a `hidden beast` number, since 1 + 3 + 2 + 2 + 8 + 8 + 9 + 0 + 8 + 5 + 44 + 576 = 666.

132288908544576 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (132288908544571) 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, 320624106 + ... + 321036438.

It is an arithmetic number, because the mean of its divisors is an integer number (1317958008224).

It is a 1-persistent number, because it is pandigital, but 2⋅132288908544576 = 264577817089152 is not.

Almost surely, 2^{132288908544576} is an apocalyptic number.

132288908544576 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 132288908544576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221416945381632).

132288908544576 is an abundant number, since it is smaller than the sum of its proper divisors (310544982218688).

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

132288908544576 is a wasteful number, since it uses less digits than its factorization.

132288908544576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 414098 (or 414085 counting only the distinct ones).

The product of its (nonzero) digits is 928972800, while the sum is 72.

The spelling of 132288908544576 in words is "one hundred thirty-two trillion, two hundred eighty-eight billion, nine hundred eight million, five hundred forty-four thousand, five hundred seventy-six".