132144134302110 has 1024 divisors, whose sum is σ = 398808023040000. Its totient is φ = 27946260486144.

The previous prime is 132144134302099. The next prime is 132144134302129. The reversal of 132144134302110 is 11203431441231.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 416858467672 + ... + 416858467988.

It is an arithmetic number, because the mean of its divisors is an integer number (389460960000).

Almost surely, 2^{132144134302110} is an apocalyptic number.

132144134302110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 132144134302110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199404011520000).

132144134302110 is an abundant number, since it is smaller than the sum of its proper divisors (266663888737890).

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

132144134302110 is a wasteful number, since it uses less digits than its factorization.

132144134302110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 790 (or 776 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

Adding to 132144134302110 its reverse (11203431441231), we get a palindrome (143347565743341).

The spelling of 132144134302110 in words is "one hundred thirty-two trillion, one hundred forty-four billion, one hundred thirty-four million, three hundred two thousand, one hundred ten".