152424020 has 48 divisors (see below), whose sum is σ = 368323200. Its totient is φ = 51901824.

The previous prime is 152424011. The next prime is 152424067. The reversal of 152424020 is 20424251.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 152423983 and 152424001.

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, 17207 + ... + 24513.

It is an arithmetic number, because the mean of its divisors is an integer number (7673400).

Almost surely, 2^152424020 is an apocalyptic number.

152424020 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 152424020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184161600).

152424020 is an abundant number, since it is smaller than the sum of its proper divisors (215899180).

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

152424020 is a wasteful number, since it uses less digits than its factorization.

152424020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7472 (or 7470 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 20.

The square root of 152424020 is about 12346.0123116738. The cubic root of 152424020 is about 534.1761214943.

Adding to 152424020 its reverse (20424251), we get a palindrome (172848271).

The spelling of 152424020 in words is "one hundred fifty-two million, four hundred twenty-four thousand, twenty".