152401305 has 32 divisors (see below), whose sum is σ = 285481728. Its totient is φ = 67968000.

The previous prime is 152401283. The next prime is 152401309. The reversal of 152401305 is 503104251.

152401305 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 152401305 - 2⁹ = 152400793 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (152401309) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13396 + ... + 22005.

It is an arithmetic number, because the mean of its divisors is an integer number (8921304).

Almost surely, 2^152401305 is an apocalyptic number.

152401305 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

152401305 is a deficient number, since it is larger than the sum of its proper divisors (133080423).

152401305 is a wasteful number, since it uses less digits than its factorization.

152401305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35457.

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 152401305 is about 12345.0923447336. The cubic root of 152401305 is about 534.1495849650.

Adding to 152401305 its reverse (503104251), we get a palindrome (655505556).

The spelling of 152401305 in words is "one hundred fifty-two million, four hundred one thousand, three hundred five".