138762242065296 has 120 divisors (see below), whose sum is σ = 388621919143224. Its totient is φ = 46220694528000.

The previous prime is 138762242065267. The next prime is 138762242065301. The reversal of 138762242065296 is 692560242267831.

138762242065296 is a `hidden beast` number, since 1 + 3 + 8 + 7 + 62 + 2 + 42 + 0 + 6 + 529 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 11294438918400 + 127467803146896 = 3360720^2 + 11290164^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2077338970 + ... + 2077405766.

It is a 1-persistent number, because it is pandigital, but 2⋅138762242065296 = 277524484130592 is not.

Almost surely, 2^{138762242065296} is an apocalyptic number.

138762242065296 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

138762242065296 is an abundant number, since it is smaller than the sum of its proper divisors (249859677077928).

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

138762242065296 is a wasteful number, since it uses less digits than its factorization.

138762242065296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77009 (or 77000 counting only the distinct ones).

The product of its (nonzero) digits is 104509440, while the sum is 63.

The spelling of 138762242065296 in words is "one hundred thirty-eight trillion, seven hundred sixty-two billion, two hundred forty-two million, sixty-five thousand, two hundred ninety-six".