135758106 has 160 divisors (see below), whose sum is σ = 357540480. Its totient is φ = 38102400.

The previous prime is 135758101. The next prime is 135758111. The reversal of 135758106 is 601857531.

135758106 is a `hidden beast` number, since 1 + 3 + 575 + 81 + 0 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (135758101) and next prime (135758111).

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

It is not an unprimeable number, because it can be changed into a prime (135758101) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1912051 + ... + 1912121.

It is an arithmetic number, because the mean of its divisors is an integer number (2234628).

Almost surely, 2^135758106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135758106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178770240).

135758106 is an abundant number, since it is smaller than the sum of its proper divisors (221782374).

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

135758106 is a wasteful number, since it uses less digits than its factorization.

135758106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The square root of 135758106 is about 11651.5280542940. The cubic root of 135758106 is about 513.9512462148.

The spelling of 135758106 in words is "one hundred thirty-five million, seven hundred fifty-eight thousand, one hundred six".