152130880 has 84 divisors (see below), whose sum is σ = 398289780. Its totient is φ = 55306240.

The previous prime is 152130799. The next prime is 152130907. The reversal of 152130880 is 88031251.

It can be written as a sum of positive squares in 2 ways, for example, as 36869184 + 115261696 = 6072^2 + 10736^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 36756 + ... + 40684.

It is an arithmetic number, because the mean of its divisors is an integer number (4741545).

Almost surely, 2^152130880 is an apocalyptic number.

152130880 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 152130880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199144890).

152130880 is an abundant number, since it is smaller than the sum of its proper divisors (246158900).

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

152130880 is a wasteful number, since it uses less digits than its factorization.

152130880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3968 (or 3947 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 28.

The square root of 152130880 is about 12334.1347487369. The cubic root of 152130880 is about 533.8334614188.

The spelling of 152130880 in words is "one hundred fifty-two million, one hundred thirty thousand, eight hundred eighty".