138091587945480 has 1280 divisors, whose sum is σ = 550007377920000. Its totient is φ = 30769019873280.

The previous prime is 138091587945433. The next prime is 138091587945503. The reversal of 138091587945480 is 84549785190831.

It is a happy number.

138091587945480 is a `hidden beast` number, since 1 + 3 + 8 + 0 + 9 + 1 + 5 + 8 + 79 + 4 + 548 + 0 = 666.

It is a super-2 number, since 2×138091587945480² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 138091587945399 and 138091587945408.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 1959850491 + ... + 1959920949.

It is an arithmetic number, because the mean of its divisors is an integer number (429693264000).

Almost surely, 2^{138091587945480} is an apocalyptic number.

138091587945480 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 138091587945480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275003688960000).

138091587945480 is an abundant number, since it is smaller than the sum of its proper divisors (411915789974520).

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

138091587945480 is a wasteful number, since it uses less digits than its factorization.

138091587945480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70624 (or 70611 counting only the distinct ones).

The product of its (nonzero) digits is 348364800, while the sum is 72.

The spelling of 138091587945480 in words is "one hundred thirty-eight trillion, ninety-one billion, five hundred eighty-seven million, nine hundred forty-five thousand, four hundred eighty".