138041820 has 360 divisors, whose sum is σ = 528365376. Its totient is φ = 30046464.

The previous prime is 138041809. The next prime is 138041833. The reversal of 138041820 is 28140831.

138041820 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 2937037 + ... + 2937083.

Almost surely, 2^138041820 is an apocalyptic number.

138041820 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 138041820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264182688).

138041820 is an abundant number, since it is smaller than the sum of its proper divisors (390323556).

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

138041820 is a wasteful number, since it uses less digits than its factorization.

138041820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 138041820 is about 11749.1199670443. The cubic root of 138041820 is about 516.8171207110.

The spelling of 138041820 in words is "one hundred thirty-eight million, forty-one thousand, eight hundred twenty".