267135968148 has 144 divisors (see below), whose sum is σ = 736465262400. Its totient is φ = 75134062080.

The previous prime is 267135968137. The next prime is 267135968149. The reversal of 267135968148 is 841869531762.

It is a happy number.

267135968148 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 267135968091 and 267135968100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (267135968149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11972883 + ... + 11995173.

It is an arithmetic number, because the mean of its divisors is an integer number (5114342100).

Almost surely, 2^267135968148 is an apocalyptic number.

267135968148 is a gapful number since it is divisible by the number (28) 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 267135968148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368232631200).

267135968148 is an abundant number, since it is smaller than the sum of its proper divisors (469329294252).

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

267135968148 is a wasteful number, since it uses less digits than its factorization.

267135968148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22630 (or 22621 counting only the distinct ones).

The product of its digits is 17418240, while the sum is 60.

The spelling of 267135968148 in words is "two hundred sixty-seven billion, one hundred thirty-five million, nine hundred sixty-eight thousand, one hundred forty-eight".