152442432 has 112 divisors (see below), whose sum is σ = 457931520. Its totient is φ = 49706496.

The previous prime is 152442421. The next prime is 152442457. The reversal of 152442432 is 234244251.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 152442396 and 152442405.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 80278 + ... + 82154.

Almost surely, 2^152442432 is an apocalyptic number.

152442432 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 152442432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228965760).

152442432 is an abundant number, since it is smaller than the sum of its proper divisors (305489088).

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

152442432 is a wasteful number, since it uses less digits than its factorization.

152442432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1945 (or 1929 counting only the distinct ones).

The product of its digits is 7680, while the sum is 27.

The square root of 152442432 is about 12346.7579550261. The cubic root of 152442432 is about 534.1976291603.

Adding to 152442432 its reverse (234244251), we get a palindrome (386686683).

It can be divided in two parts, 1524 and 42432, that added together give a triangular number (43956 = T₂₉₆).

The spelling of 152442432 in words is "one hundred fifty-two million, four hundred forty-two thousand, four hundred thirty-two".