152270080 has 72 divisors (see below), whose sum is σ = 366853032. Its totient is φ = 60555264.

The previous prime is 152270033. The next prime is 152270081. The reversal of 152270080 is 80072251.

It can be written as a sum of positive squares in 4 ways, for example, as 3625216 + 148644864 = 1904^2 + 12192^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152270081) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 431184 + ... + 431536.

It is an arithmetic number, because the mean of its divisors is an integer number (5095181).

Almost surely, 2^152270080 is an apocalyptic number.

152270080 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 152270080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183426516).

152270080 is an abundant number, since it is smaller than the sum of its proper divisors (214582952).

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

152270080 is an equidigital number, since it uses as much as digits as its factorization.

152270080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 711 (or 697 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 25.

The square root of 152270080 is about 12339.7763350881. The cubic root of 152270080 is about 533.9962312760.

The spelling of 152270080 in words is "one hundred fifty-two million, two hundred seventy thousand, eighty".