152002305 has 64 divisors (see below), whose sum is σ = 332613120. Its totient is φ = 64136448.

The previous prime is 152002283. The next prime is 152002343. The reversal of 152002305 is 503200251.

It is a happy number.

It is not a de Polignac number, because 152002305 - 2⁷ = 152002177 is a prime.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 6099 + ... + 18471.

It is an arithmetic number, because the mean of its divisors is an integer number (5197080).

Almost surely, 2^152002305 is an apocalyptic number.

152002305 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

152002305 is an abundant number, since it is smaller than the sum of its proper divisors (180610815).

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

152002305 is a wasteful number, since it uses less digits than its factorization.

152002305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12407 (or 12401 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 152002305 is about 12328.9214856775. The cubic root of 152002305 is about 533.6830273912.

Adding to 152002305 its reverse (503200251), we get a palindrome (655202556).

The spelling of 152002305 in words is "one hundred fifty-two million, two thousand, three hundred five".