132145311534100 has 72 divisors (see below), whose sum is σ = 289340629639488. Its totient is φ = 52381725043200.

The previous prime is 132145311534097. The next prime is 132145311534151. The reversal of 132145311534100 is 1435113541231.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 67868337 + ... + 69788263.

It is an arithmetic number, because the mean of its divisors is an integer number (4018619856104).

Almost surely, 2^{132145311534100} is an apocalyptic number.

132145311534100 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 132145311534100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144670314819744).

132145311534100 is an abundant number, since it is smaller than the sum of its proper divisors (157195318105388).

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

132145311534100 is a wasteful number, since it uses less digits than its factorization.

132145311534100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1926145 (or 1926138 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 34.

The spelling of 132145311534100 in words is "one hundred thirty-two trillion, one hundred forty-five billion, three hundred eleven million, five hundred thirty-four thousand, one hundred".