138777760 has 96 divisors (see below), whose sum is σ = 370137600. Its totient is φ = 48706560.

The previous prime is 138777733. The next prime is 138777761. The reversal of 138777760 is 67777831.

It is a self number, because there is not a number n which added to its sum of digits gives 138777760.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138777761) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49681 + ... + 52399.

It is an arithmetic number, because the mean of its divisors is an integer number (3855600).

Almost surely, 2^138777760 is an apocalyptic number.

138777760 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 138777760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185068800).

138777760 is an abundant number, since it is smaller than the sum of its proper divisors (231359840).

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

138777760 is a wasteful number, since it uses less digits than its factorization.

138777760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2774 (or 2766 counting only the distinct ones).

The product of its (nonzero) digits is 345744, while the sum is 46.

The square root of 138777760 is about 11780.3972768324. The cubic root of 138777760 is about 517.7339261527.

The spelling of 138777760 in words is "one hundred thirty-eight million, seven hundred seventy-seven thousand, seven hundred sixty".