138820000 has 120 divisors (see below), whose sum is σ = 373155552. Its totient is φ = 50400000.

The previous prime is 138819991. The next prime is 138820009. The reversal of 138820000 is 28831.

It is an interprime number because it is at equal distance from previous prime (138819991) and next prime (138820009).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (138820009) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 219685 + ... + 220315.

Almost surely, 2^138820000 is an apocalyptic number.

138820000 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 138820000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186577776).

138820000 is an abundant number, since it is smaller than the sum of its proper divisors (234335552).

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

138820000 is an equidigital number, since it uses as much as digits as its factorization.

138820000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 672 (or 649 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

The square root of 138820000 is about 11782.1899492412. The cubic root of 138820000 is about 517.7864486477.

Adding to 138820000 its reverse (28831), we get a palindrome (138848831).

The spelling of 138820000 in words is "one hundred thirty-eight million, eight hundred twenty thousand".