135123136 has 28 divisors (see below), whose sum is σ = 282249880. Its totient is φ = 64005120.

The previous prime is 135123133. The next prime is 135123139. The reversal of 135123136 is 631321531.

It is an interprime number because it is at equal distance from previous prime (135123133) and next prime (135123139).

It is a self number, because there is not a number n which added to its sum of digits gives 135123136.

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

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 54345 + ... + 56776.

Almost surely, 2^135123136 is an apocalyptic number.

135123136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

135123136 is an abundant number, since it is smaller than the sum of its proper divisors (147126744).

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

135123136 is a wasteful number, since it uses less digits than its factorization.

135123136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111152 (or 111142 counting only the distinct ones).

The product of its digits is 1620, while the sum is 25.

The square root of 135123136 is about 11624.2477606080. The cubic root of 135123136 is about 513.1487066787.

Adding to 135123136 its reverse (631321531), we get a palindrome (766444667).

It can be divided in two parts, 1351231 and 36, that multiplied together give a triangular number (48644316 = T₉₈₆₃).

The spelling of 135123136 in words is "one hundred thirty-five million, one hundred twenty-three thousand, one hundred thirty-six".