138980499840 has 1280 divisors, whose sum is σ = 647167086720. Its totient is φ = 27582529536.

The previous prime is 138980499809. The next prime is 138980499863. The reversal of 138980499840 is 48994089831.

138980499840 is a `hidden beast` number, since 13 + 8 + 98 + 0 + 499 + 8 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 80195614 + ... + 80197346.

Almost surely, 2^138980499840 is an apocalyptic number.

138980499840 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 138980499840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323583543360).

138980499840 is an abundant number, since it is smaller than the sum of its proper divisors (508186586880).

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

138980499840 is a wasteful number, since it uses less digits than its factorization.

138980499840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1801 (or 1780 counting only the distinct ones).

The product of its (nonzero) digits is 17915904, while the sum is 63.

The spelling of 138980499840 in words is "one hundred thirty-eight billion, nine hundred eighty million, four hundred ninety-nine thousand, eight hundred forty".