138066077361000 has 128 divisors (see below), whose sum is σ = 444661844290560. Its totient is φ = 35629955424000.

The previous prime is 138066077360989. The next prime is 138066077361007. The reversal of 138066077361000 is 163770660831.

It is not an unprimeable number, because it can be changed into a prime (138066077361007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 742197739 + ... + 742383738.

It is an arithmetic number, because the mean of its divisors is an integer number (3473920658520).

Almost surely, 2^{138066077361000} is an apocalyptic number.

138066077361000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

138066077361000 is an abundant number, since it is smaller than the sum of its proper divisors (306595766929560).

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

138066077361000 is a wasteful number, since it uses less digits than its factorization.

138066077361000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1484581532 (or 1484581518 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 48.

The spelling of 138066077361000 in words is "one hundred thirty-eight trillion, sixty-six billion, seventy-seven million, three hundred sixty-one thousand".