135833124 has 96 divisors (see below), whose sum is σ = 381136896. Its totient is φ = 36812160.

The previous prime is 135833099. The next prime is 135833141. The reversal of 135833124 is 421338531.

It is a junction number, because it is equal to n+sod(n) for n = 135833091 and 135833100.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 322434 + ... + 322854.

It is an arithmetic number, because the mean of its divisors is an integer number (3970176).

Almost surely, 2^135833124 is an apocalyptic number.

135833124 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135833124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190568448).

135833124 is an abundant number, since it is smaller than the sum of its proper divisors (245303772).

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

135833124 is a wasteful number, since it uses less digits than its factorization.

135833124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 625 (or 623 counting only the distinct ones).

The product of its digits is 8640, while the sum is 30.

The square root of 135833124 is about 11654.7468440975. The cubic root of 135833124 is about 514.0458961677.

The spelling of 135833124 in words is "one hundred thirty-five million, eight hundred thirty-three thousand, one hundred twenty-four".