152068020 has 192 divisors, whose sum is σ = 499752960. Its totient is φ = 34214400.

The previous prime is 152067977. The next prime is 152068027. The reversal of 152068020 is 20860251.

152068020 is digitally balanced in base 3 and base 9, because in such bases it contains all the possibile digits an equal number of times.

152068020 is strictly pandigital in base 9.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152068027) by changing a digit.

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, 459255 + ... + 459585.

It is an arithmetic number, because the mean of its divisors is an integer number (2602880).

Almost surely, 2^152068020 is an apocalyptic number.

152068020 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 152068020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249876480).

152068020 is an abundant number, since it is smaller than the sum of its proper divisors (347684940).

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

152068020 is a wasteful number, since it uses less digits than its factorization.

152068020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 406 (or 404 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 152068020 is about 12331.5862726577. The cubic root of 152068020 is about 533.7599251884.

The spelling of 152068020 in words is "one hundred fifty-two million, sixty-eight thousand, twenty".