138781434880 has 352 divisors, whose sum is σ = 387961850880. Its totient is φ = 47136768000.

The previous prime is 138781434863. The next prime is 138781434881. The reversal of 138781434880 is 88434187831.

It is a tau number, because it is divible by the number of its divisors (352).

It is a super-2 number, since 2×138781434880² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (55).

It is not an unprimeable number, because it can be changed into a prime (138781434881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 50630310 + ... + 50633050.

Almost surely, 2^138781434880 is an apocalyptic number.

138781434880 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 138781434880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193980925440).

138781434880 is an abundant number, since it is smaller than the sum of its proper divisors (249180416000).

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

138781434880 is a wasteful number, since it uses less digits than its factorization.

138781434880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2837 (or 2819 counting only the distinct ones).

The product of its (nonzero) digits is 4128768, while the sum is 55.

The spelling of 138781434880 in words is "one hundred thirty-eight billion, seven hundred eighty-one million, four hundred thirty-four thousand, eight hundred eighty".