145132020 has 192 divisors, whose sum is σ = 502951680. Its totient is φ = 34444800.

The previous prime is 145132007. The next prime is 145132061. The reversal of 145132020 is 20231541.

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 = 145131984 and 145132002.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 314590 + ... + 315050.

It is an arithmetic number, because the mean of its divisors is an integer number (2619540).

Almost surely, 2^145132020 is an apocalyptic number.

145132020 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 145132020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251475840).

145132020 is an abundant number, since it is smaller than the sum of its proper divisors (357819660).

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

145132020 is a wasteful number, since it uses less digits than its factorization.

145132020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 543 (or 535 counting only the distinct ones).

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

The square root of 145132020 is about 12047.0751637067. The cubic root of 145132020 is about 525.5181822562.

Adding to 145132020 its reverse (20231541), we get a palindrome (165363561).

The spelling of 145132020 in words is "one hundred forty-five million, one hundred thirty-two thousand, twenty".