152008307893 has 32 divisors (see below), whose sum is σ = 174596954112. Its totient is φ = 131349254400.

The previous prime is 152008307833. The next prime is 152008307923. The reversal of 152008307893 is 398703800251.

152008307893 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 152008307893 - 2²⁹ = 151471436981 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152008307833) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1466371 + ... + 1566607.

It is an arithmetic number, because the mean of its divisors is an integer number (5456154816).

Almost surely, 2^152008307893 is an apocalyptic number.

152008307893 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

152008307893 is a deficient number, since it is larger than the sum of its proper divisors (22588646219).

152008307893 is a wasteful number, since it uses less digits than its factorization.

152008307893 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100405.

The product of its (nonzero) digits is 362880, while the sum is 46.

The spelling of 152008307893 in words is "one hundred fifty-two billion, eight million, three hundred seven thousand, eight hundred ninety-three".