152542401 has 24 divisors (see below), whose sum is σ = 228342912. Its totient is φ = 90472800.

The previous prime is 152542391. The next prime is 152542447. The reversal of 152542401 is 104245251.

It is not a de Polignac number, because 152542401 - 2¹⁰ = 152541377 is a prime.

It is not an unprimeable number, because it can be changed into a prime (152542501) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 12591 + ... + 21531.

It is an arithmetic number, because the mean of its divisors is an integer number (9514288).

Almost surely, 2^152542401 is an apocalyptic number.

152542401 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

152542401 is a deficient number, since it is larger than the sum of its proper divisors (75800511).

152542401 is a wasteful number, since it uses less digits than its factorization.

152542401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9013 (or 9002 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 24.

The square root of 152542401 is about 12350.8056822217. The cubic root of 152542401 is about 534.3143760370.

Adding to 152542401 its reverse (104245251), we get a palindrome (256787652).

The spelling of 152542401 in words is "one hundred fifty-two million, five hundred forty-two thousand, four hundred one".