153132020 has 48 divisors (see below), whose sum is σ = 342854400. Its totient is φ = 57283200.

The previous prime is 153131983. The next prime is 153132037. The reversal of 153132020 is 20231351.

It is a self number, because there is not a number n which added to its sum of digits gives 153132020.

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 15 ways as a sum of consecutive naturals, for example, 27470 + ... + 32570.

It is an arithmetic number, because the mean of its divisors is an integer number (7142800).

Almost surely, 2^153132020 is an apocalyptic number.

153132020 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 153132020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171427200).

153132020 is an abundant number, since it is smaller than the sum of its proper divisors (189722380).

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

153132020 is a wasteful number, since it uses less digits than its factorization.

153132020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5208 (or 5206 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 17.

The square root of 153132020 is about 12374.6523183482. The cubic root of 153132020 is about 535.0019157354.

Adding to 153132020 its reverse (20231351), we get a palindrome (173363371).

The spelling of 153132020 in words is "one hundred fifty-three million, one hundred thirty-two thousand, twenty".