138726494208 has 520 divisors, whose sum is σ = 444810616800. Its totient is φ = 42950393856.

The previous prime is 138726494183. The next prime is 138726494209. The reversal of 138726494208 is 802494627831.

138726494208 is a `hidden beast` number, since 13 + 87 + 264 + 94 + 208 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138726494209) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 371920710 + ... + 371921082.

Almost surely, 2^138726494208 is an apocalyptic number.

138726494208 is a gapful number since it is divisible by the number (18) 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 138726494208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222405308400).

138726494208 is an abundant number, since it is smaller than the sum of its proper divisors (306084122592).

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

138726494208 is an equidigital number, since it uses as much as digits as its factorization.

138726494208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 487 (or 456 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 138726494208 in words is "one hundred thirty-eight billion, seven hundred twenty-six million, four hundred ninety-four thousand, two hundred eight".