138487262426496 has 640 divisors, whose sum is σ = 429378567045120. Its totient is φ = 44259747840000.

The previous prime is 138487262426467. The next prime is 138487262426509. The reversal of 138487262426496 is 694624262784831.

138487262426496 is a `hidden beast` number, since 1 + 3 + 8 + 4 + 8 + 72 + 62 + 4 + 2 + 6 + 496 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 35961374971 + ... + 35961378821.

It is an arithmetic number, because the mean of its divisors is an integer number (670904011008).

Almost surely, 2^{138487262426496} is an apocalyptic number.

138487262426496 is a gapful number since it is divisible by the number (16) 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 138487262426496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214689283522560).

138487262426496 is an abundant number, since it is smaller than the sum of its proper divisors (290891304618624).

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

138487262426496 is a wasteful number, since it uses less digits than its factorization.

138487262426496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4916 (or 4895 counting only the distinct ones).

The product of its digits is 1337720832, while the sum is 72.

The spelling of 138487262426496 in words is "one hundred thirty-eight trillion, four hundred eighty-seven billion, two hundred sixty-two million, four hundred twenty-six thousand, four hundred ninety-six".