132210279190080 has 1344 divisors, whose sum is σ = 578547665579520. Its totient is φ = 27829561982976.

The previous prime is 132210279190061. The next prime is 132210279190103. The reversal of 132210279190080 is 80091972012231.

132210279190080 is a `hidden beast` number, since 1 + 3 + 2 + 210 + 279 + 1 + 90 + 0 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4425730024 + ... + 4425759896.

It is an arithmetic number, because the mean of its divisors is an integer number (430467013080).

Almost surely, 2^{132210279190080} is an apocalyptic number.

132210279190080 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 132210279190080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289273832789760).

132210279190080 is an abundant number, since it is smaller than the sum of its proper divisors (446337386389440).

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

132210279190080 is a wasteful number, since it uses less digits than its factorization.

132210279190080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30365 (or 30336 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 45.

The spelling of 132210279190080 in words is "one hundred thirty-two trillion, two hundred ten billion, two hundred seventy-nine million, one hundred ninety thousand, eighty".