152442312 has 64 divisors (see below), whose sum is σ = 422841600. Its totient is φ = 45407040.

The previous prime is 152442259. The next prime is 152442313. The reversal of 152442312 is 213244251.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (152442313) 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, 10683 + ... + 20469.

It is an arithmetic number, because the mean of its divisors is an integer number (6606900).

Almost surely, 2^152442312 is an apocalyptic number.

152442312 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 152442312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211420800).

152442312 is an abundant number, since it is smaller than the sum of its proper divisors (270399288).

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

152442312 is a wasteful number, since it uses less digits than its factorization.

152442312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9866 (or 9862 counting only the distinct ones).

The product of its digits is 1920, while the sum is 24.

The square root of 152442312 is about 12346.7530954498. The cubic root of 152442312 is about 534.1974889899.

Adding to 152442312 its reverse (213244251), we get a palindrome (365686563).

The spelling of 152442312 in words is "one hundred fifty-two million, four hundred forty-two thousand, three hundred twelve".