152345504 has 48 divisors (see below), whose sum is σ = 311169600. Its totient is φ = 73367040.

The previous prime is 152345503. The next prime is 152345573. The reversal of 152345504 is 405543251.

152345504 = T₁₅₁₂ + T₁₅₁₃ + ... + T₁₆₃₄.

It is not an unprimeable number, because it can be changed into a prime (152345503) 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 7 ways as a sum of consecutive naturals, for example, 108197 + ... + 109595.

It is an arithmetic number, because the mean of its divisors is an integer number (6482700).

Almost surely, 2^152345504 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 152345504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155584800).

152345504 is an abundant number, since it is smaller than the sum of its proper divisors (158824096).

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

152345504 is a wasteful number, since it uses less digits than its factorization.

152345504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1533 (or 1525 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 29.

The square root of 152345504 is about 12342.8320899217. The cubic root of 152345504 is about 534.0843849120.

Adding to 152345504 its reverse (405543251), we get a palindrome (557888755).

The spelling of 152345504 in words is "one hundred fifty-two million, three hundred forty-five thousand, five hundred four".