152345024 has 56 divisors (see below), whose sum is σ = 344747088. Its totient is φ = 66170880.

The previous prime is 152345023. The next prime is 152345071. The reversal of 152345024 is 420543251.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a junction number, because it is equal to n+sod(n) for n = 152344984 and 152345002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152345023) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8759 + ... + 19529.

It is an arithmetic number, because the mean of its divisors is an integer number (6156198).

Almost surely, 2^152345024 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 152345024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172373544).

152345024 is an abundant number, since it is smaller than the sum of its proper divisors (192402064).

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

152345024 is a wasteful number, since it uses less digits than its factorization.

152345024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10813 (or 10803 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 26.

The square root of 152345024 is about 12342.8126454224. The cubic root of 152345024 is about 534.0838239923.

Adding to 152345024 its reverse (420543251), we get a palindrome (572888275).

The spelling of 152345024 in words is "one hundred fifty-two million, three hundred forty-five thousand, twenty-four".