152080020 has 72 divisors (see below), whose sum is σ = 462328776. Its totient is φ = 40465152.

The previous prime is 152079989. The next prime is 152080021. The reversal of 152080020 is 20080251.

It can be written as a sum of positive squares in 4 ways, for example, as 21846276 + 130233744 = 4674^2 + 11412^2 .

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 = 152079975 and 152080002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152080021) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 138594 + ... + 139686.

It is an arithmetic number, because the mean of its divisors is an integer number (6421233).

Almost surely, 2^152080020 is an apocalyptic number.

152080020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

152080020 is an abundant number, since it is smaller than the sum of its proper divisors (310248756).

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

152080020 is a wasteful number, since it uses less digits than its factorization.

152080020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1881 (or 1876 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 152080020 is about 12332.0728184681. The cubic root of 152080020 is about 533.7739648500.

The spelling of 152080020 in words is "one hundred fifty-two million, eighty thousand, twenty".