152434320 has 80 divisors (see below), whose sum is σ = 476963520. Its totient is φ = 40269312.

The previous prime is 152434319. The next prime is 152434327. The reversal of 152434320 is 23434251.

It is a tau number, because it is divible by the number of its divisors (80).

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 (152434327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23247 + ... + 29073.

It is an arithmetic number, because the mean of its divisors is an integer number (5962044).

Almost surely, 2^152434320 is an apocalyptic number.

152434320 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 152434320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238481760).

152434320 is an abundant number, since it is smaller than the sum of its proper divisors (324529200).

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

152434320 is a wasteful number, since it uses less digits than its factorization.

152434320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5952 (or 5946 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 152434320 is about 12346.4294433654. The cubic root of 152434320 is about 534.1881534783.

Adding to 152434320 its reverse (23434251), we get a palindrome (175868571).

The spelling of 152434320 in words is "one hundred fifty-two million, four hundred thirty-four thousand, three hundred twenty".