132145388189620 has 384 divisors, whose sum is σ = 317932521984000. Its totient is φ = 45795448258560.

The previous prime is 132145388189593. The next prime is 132145388189621. The reversal of 132145388189620 is 26981883541231.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132145388189621) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 12776306169 + ... + 12776316511.

It is an arithmetic number, because the mean of its divisors is an integer number (827949276000).

Almost surely, 2^{132145388189620} is an apocalyptic number.

132145388189620 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 132145388189620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158966260992000).

132145388189620 is an abundant number, since it is smaller than the sum of its proper divisors (185787133794380).

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

132145388189620 is a wasteful number, since it uses less digits than its factorization.

132145388189620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10803 (or 10801 counting only the distinct ones).

The product of its (nonzero) digits is 19906560, while the sum is 61.

The spelling of 132145388189620 in words is "one hundred thirty-two trillion, one hundred forty-five billion, three hundred eighty-eight million, one hundred eighty-nine thousand, six hundred twenty".