150008832 has 132 divisors (see below), whose sum is σ = 444829476. Its totient is φ = 48660480.

The previous prime is 150008813. The next prime is 150008839. The reversal of 150008832 is 238800051.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 46457856 + 103550976 = 6816^2 + 10176^2 .

It is a junction number, because it is equal to n+sod(n) for n = 150008796 and 150008805.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (150008839) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 377658 + ... + 378054.

Almost surely, 2^150008832 is an apocalyptic number.

150008832 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 150008832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222414738).

150008832 is an abundant number, since it is smaller than the sum of its proper divisors (294820644).

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

150008832 is a wasteful number, since it uses less digits than its factorization.

150008832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 464 (or 443 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 150008832 is about 12247.8092734987. The cubic root of 150008832 is about 531.3397126094.

Adding to 150008832 its reverse (238800051), we get a palindrome (388808883).

It can be divided in two parts, 15000 and 8832, that added together give a palindrome (23832).

The spelling of 150008832 in words is "one hundred fifty million, eight thousand, eight hundred thirty-two".