135133758 has 48 divisors (see below), whose sum is σ = 306751536. Its totient is φ = 44582400.

The previous prime is 135133753. The next prime is 135133759. The reversal of 135133758 is 857331531.

It is a happy number.

It is a super-2 number, since 2×135133758² = 36522265102405128, which contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135133753) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 47710 + ... + 50462.

It is an arithmetic number, because the mean of its divisors is an integer number (6390657).

Almost surely, 2^135133758 is an apocalyptic number.

135133758 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 135133758, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153375768).

135133758 is an abundant number, since it is smaller than the sum of its proper divisors (171617778).

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

135133758 is a wasteful number, since it uses less digits than its factorization.

135133758 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2871 (or 2859 counting only the distinct ones).

The product of its digits is 37800, while the sum is 36.

The square root of 135133758 is about 11624.7046414092. The cubic root of 135133758 is about 513.1621524953.

It can be divided in two parts, 13513 and 3758, that added together give a palindrome (17271).

The spelling of 135133758 in words is "one hundred thirty-five million, one hundred thirty-three thousand, seven hundred fifty-eight".