138548142429480 has 384 divisors, whose sum is σ = 531614448967680. Its totient is φ = 30623123105280.

The previous prime is 138548142429479. The next prime is 138548142429493. The reversal of 138548142429480 is 84924241845831.

138548142429480 is a `hidden beast` number, since 1 + 3 + 8 + 5 + 4 + 8 + 142 + 4 + 2 + 9 + 480 = 666.

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

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 101424367 + ... + 102781313.

It is an arithmetic number, because the mean of its divisors is an integer number (1384412627520).

Almost surely, 2^{138548142429480} is an apocalyptic number.

138548142429480 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 138548142429480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265807224483840).

138548142429480 is an abundant number, since it is smaller than the sum of its proper divisors (393066306538200).

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

138548142429480 is a wasteful number, since it uses less digits than its factorization.

138548142429480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1358309 (or 1358302 counting only the distinct ones).

The product of its (nonzero) digits is 70778880, while the sum is 63.

The spelling of 138548142429480 in words is "one hundred thirty-eight trillion, five hundred forty-eight billion, one hundred forty-two million, four hundred twenty-nine thousand, four hundred eighty".