1367751138 has 128 divisors (see below), whose sum is σ = 3216998400. Its totient is φ = 386358336.

The previous prime is 1367751127. The next prime is 1367751179. The reversal of 1367751138 is 8311577631.

It is a super-3 number, since 3×1367751138³ (a number of 28 digits) contains 333 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 1367751138.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10769631 + ... + 10769757.

It is an arithmetic number, because the mean of its divisors is an integer number (25132800).

Almost surely, 2^1367751138 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1367751138, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1608499200).

1367751138 is an abundant number, since it is smaller than the sum of its proper divisors (1849247262).

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

1367751138 is a wasteful number, since it uses less digits than its factorization.

1367751138 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233 (or 207 counting only the distinct ones).

The product of its digits is 105840, while the sum is 42.

The square root of 1367751138 is about 36983.1196358555. The cubic root of 1367751138 is about 1110.0325012803.

The spelling of 1367751138 in words is "one billion, three hundred sixty-seven million, seven hundred fifty-one thousand, one hundred thirty-eight".