135667872 has 144 divisors (see below), whose sum is σ = 407272320. Its totient is φ = 44416512.

The previous prime is 135667867. The next prime is 135667891. The reversal of 135667872 is 278766531.

135667872 is a `hidden beast` number, since 1 + 3 + 566 + 7 + 87 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 567529 + ... + 567767.

It is an arithmetic number, because the mean of its divisors is an integer number (2828280).

Almost surely, 2^135667872 is an apocalyptic number.

135667872 is a gapful number since it is divisible by the number (12) 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 135667872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203636160).

135667872 is an abundant number, since it is smaller than the sum of its proper divisors (271604448).

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

135667872 is an equidigital number, since it uses as much as digits as its factorization.

135667872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 337 (or 317 counting only the distinct ones).

The product of its digits is 423360, while the sum is 45.

The square root of 135667872 is about 11647.6552146773. The cubic root of 135667872 is about 513.8373520817.

The spelling of 135667872 in words is "one hundred thirty-five million, six hundred sixty-seven thousand, eight hundred seventy-two".