132145020 has 240 divisors, whose sum is σ = 486571008. Its totient is φ = 29393280.

The previous prime is 132145003. The next prime is 132145021. The reversal of 132145020 is 20541231.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 132144984 and 132145002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132145021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 487485 + ... + 487755.

Almost surely, 2^132145020 is an apocalyptic number.

132145020 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 132145020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243285504).

132145020 is an abundant number, since it is smaller than the sum of its proper divisors (354425988).

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

132145020 is a wasteful number, since it uses less digits than its factorization.

132145020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342 (or 331 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 132145020 is about 11495.4347460198. The cubic root of 132145020 is about 509.3507308748.

Adding to 132145020 its reverse (20541231), we get a palindrome (152686251).

The spelling of 132145020 in words is "one hundred thirty-two million, one hundred forty-five thousand, twenty".