135167160 has 128 divisors (see below), whose sum is σ = 421666560. Its totient is φ = 34636800.

The previous prime is 135167147. The next prime is 135167177. The reversal of 135167160 is 61761531.

It is a super-2 number, since 2×135167160² = 36540322284931200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 408195 + ... + 408525.

It is an arithmetic number, because the mean of its divisors is an integer number (3294270).

Almost surely, 2^135167160 is an apocalyptic number.

135167160 is a gapful number since it is divisible by the number (10) 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 135167160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210833280).

135167160 is an abundant number, since it is smaller than the sum of its proper divisors (286499400).

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

135167160 is a wasteful number, since it uses less digits than its factorization.

135167160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 469 (or 465 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 30.

The square root of 135167160 is about 11626.1412343047. The cubic root of 135167160 is about 513.2044296939.

The spelling of 135167160 in words is "one hundred thirty-five million, one hundred sixty-seven thousand, one hundred sixty".