138168000651744 has 120 divisors (see below), whose sum is σ = 464398002251568. Its totient is φ = 39476571609600.

The previous prime is 138168000651743. The next prime is 138168000651767. The reversal of 138168000651744 is 447156000861831.

138168000651744 is a `hidden beast` number, since 1 + 3 + 8 + 1 + 6 + 80 + 0 + 0 + 6 + 517 + 44 = 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 (138168000651743) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3807521557 + ... + 3807557844.

Almost surely, 2^{138168000651744} is an apocalyptic number.

138168000651744 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

138168000651744 is an abundant number, since it is smaller than the sum of its proper divisors (326230001599824).

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

138168000651744 is an equidigital number, since it uses as much as digits as its factorization.

138168000651744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7615079430 (or 7615079413 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 138168000651744 in words is "one hundred thirty-eight trillion, one hundred sixty-eight billion, six hundred fifty-one thousand, seven hundred forty-four".