138726604800 has 828 divisors, whose sum is σ = 592906742760. Its totient is φ = 31708938240.

The previous prime is 138726604763. The next prime is 138726604879. The reversal of 138726604800 is 8406627831.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

138726604800 is a `hidden beast` number, since 1 + 38 + 7 + 2 + 6 + 604 + 8 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 19818086397 + ... + 19818086403.

Almost surely, 2^138726604800 is an apocalyptic number.

138726604800 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 138726604800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296453371380).

138726604800 is an abundant number, since it is smaller than the sum of its proper divisors (454180137960).

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

138726604800 is an frugal number, since it uses more digits than its factorization.

138726604800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 138726604800 in words is "one hundred thirty-eight billion, seven hundred twenty-six million, six hundred four thousand, eight hundred".