138803006251746 has 64 divisors (see below), whose sum is σ = 309403026522240. Its totient is φ = 46125049121280.

The previous prime is 138803006251531. The next prime is 138803006251753. The reversal of 138803006251746 is 647152600308831.

138803006251746 is a `hidden beast` number, since 1 + 3 + 8 + 8 + 0 + 3 + 0 + 0 + 625 + 1 + 7 + 4 + 6 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 138803006251692 and 138803006251701.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27887046 + ... + 32485278.

It is an arithmetic number, because the mean of its divisors is an integer number (4834422289410).

Almost surely, 2^{138803006251746} is an apocalyptic number.

138803006251746 is an abundant number, since it is smaller than the sum of its proper divisors (170600020270494).

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

138803006251746 is a wasteful number, since it uses less digits than its factorization.

138803006251746 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4599968 (or 4599962 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 138803006251746 in words is "one hundred thirty-eight trillion, eight hundred three billion, six million, two hundred fifty-one thousand, seven hundred forty-six".