135123153 has 32 divisors (see below), whose sum is σ = 201636864. Its totient is φ = 79800000.

The previous prime is 135123139. The next prime is 135123173. The reversal of 135123153 is 351321531.

It is not a de Polignac number, because 135123153 - 2¹² = 135119057 is a prime.

It is a super-2 number, since 2×135123153² = 36516532953322818, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (135123133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 236358 + ... + 236928.

It is an arithmetic number, because the mean of its divisors is an integer number (6301152).

Almost surely, 2^135123153 is an apocalyptic number.

It is an amenable number.

135123153 is a deficient number, since it is larger than the sum of its proper divisors (66513711).

135123153 is a wasteful number, since it uses less digits than its factorization.

135123153 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 757.

The product of its digits is 1350, while the sum is 24.

The square root of 135123153 is about 11624.2484918381. The cubic root of 135123153 is about 513.1487281986.

Adding to 135123153 its reverse (351321531), we get a palindrome (486444684).

The spelling of 135123153 in words is "one hundred thirty-five million, one hundred twenty-three thousand, one hundred fifty-three".