152287872 has 128 divisors (see below), whose sum is σ = 455915520. Its totient is φ = 44620800.

The previous prime is 152287871. The next prime is 152287873. The reversal of 152287872 is 278782251.

It is an interprime number because it is at equal distance from previous prime (152287871) and next prime (152287873).

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (152287871) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 130363 + ... + 131525.

It is an arithmetic number, because the mean of its divisors is an integer number (3561840).

Almost surely, 2^152287872 is an apocalyptic number.

152287872 is a gapful number since it is divisible by the number (12) 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 152287872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227957760).

152287872 is an abundant number, since it is smaller than the sum of its proper divisors (303627648).

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

152287872 is a wasteful number, since it uses less digits than its factorization.

152287872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1222 (or 1210 counting only the distinct ones).

The product of its digits is 125440, while the sum is 42.

The square root of 152287872 is about 12340.4972347147. The cubic root of 152287872 is about 534.0170287322.

The spelling of 152287872 in words is "one hundred fifty-two million, two hundred eighty-seven thousand, eight hundred seventy-two".