135167136 has 192 divisors, whose sum is σ = 423698688. Its totient is φ = 37306368.

The previous prime is 135167129. The next prime is 135167143. The reversal of 135167136 is 631761531.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (135167129) and next prime (135167143).

It is a junction number, because it is equal to n+sod(n) for n = 135167097 and 135167106.

It is a congruent number.

It is an unprimeable number.

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, 487830 + ... + 488106.

It is an arithmetic number, because the mean of its divisors is an integer number (2206764).

Almost surely, 2^135167136 is an apocalyptic number.

135167136 is a gapful number since it is divisible by the number (16) 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 135167136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211849344).

135167136 is an abundant number, since it is smaller than the sum of its proper divisors (288531552).

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

135167136 is a wasteful number, since it uses less digits than its factorization.

135167136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 343 (or 335 counting only the distinct ones).

The product of its digits is 11340, while the sum is 33.

The square root of 135167136 is about 11626.1402021479. The cubic root of 135167136 is about 513.2043993194.

The spelling of 135167136 in words is "one hundred thirty-five million, one hundred sixty-seven thousand, one hundred thirty-six".