138763820 has 48 divisors (see below), whose sum is σ = 318282048. Its totient is φ = 50507520.

The previous prime is 138763813. The next prime is 138763873. The reversal of 138763820 is 28367831.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14702 + ... + 22218.

It is an arithmetic number, because the mean of its divisors is an integer number (6630876).

Almost surely, 2^138763820 is an apocalyptic number.

138763820 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 138763820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159141024).

138763820 is an abundant number, since it is smaller than the sum of its proper divisors (179518228).

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

138763820 is a wasteful number, since it uses less digits than its factorization.

138763820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7610 (or 7608 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 38.

The square root of 138763820 is about 11779.8056011124. The cubic root of 138763820 is about 517.7165903956.

The spelling of 138763820 in words is "one hundred thirty-eight million, seven hundred sixty-three thousand, eight hundred twenty".