138792780 has 144 divisors (see below), whose sum is σ = 489565440. Its totient is φ = 31169664.

The previous prime is 138792779. The next prime is 138792781. The reversal of 138792780 is 87297831.

It is an interprime number because it is at equal distance from previous prime (138792779) and next prime (138792781).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138792781) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 73407 + ... + 75273.

It is an arithmetic number, because the mean of its divisors is an integer number (3399760).

Almost surely, 2^138792780 is an apocalyptic number.

138792780 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 138792780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244782720).

138792780 is an abundant number, since it is smaller than the sum of its proper divisors (350772660).

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

138792780 is a wasteful number, since it uses less digits than its factorization.

138792780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1948 (or 1943 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

The square root of 138792780 is about 11781.0347593070. The cubic root of 138792780 is about 517.7526036964.

The spelling of 138792780 in words is "one hundred thirty-eight million, seven hundred ninety-two thousand, seven hundred eighty".