138209258880 has 2304 divisors, whose sum is σ = 668098368000. Its totient is φ = 26824089600.

The previous prime is 138209258867. The next prime is 138209258881. The reversal of 138209258880 is 88852902831.

138209258880 is a `hidden beast` number, since 1 + 38 + 20 + 9 + 2 + 588 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138209258881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1946609245 + ... + 1946609315.

It is an arithmetic number, because the mean of its divisors is an integer number (289973250).

Almost surely, 2^138209258880 is an apocalyptic number.

138209258880 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 138209258880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334049184000).

138209258880 is an abundant number, since it is smaller than the sum of its proper divisors (529889109120).

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

138209258880 is a wasteful number, since it uses less digits than its factorization.

138209258880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 54.

The spelling of 138209258880 in words is "one hundred thirty-eight billion, two hundred nine million, two hundred fifty-eight thousand, eight hundred eighty".