138209671754880 has 128 divisors (see below), whose sum is σ = 480592722312000. Its totient is φ = 33505374965760.

The previous prime is 138209671754839. The next prime is 138209671754963. The reversal of 138209671754880 is 88457176902831.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3271988155 + ... + 3272030394.

It is a 1-persistent number, because it is pandigital, but 2⋅138209671754880 = 276419343509760 is not.

Almost surely, 2^{138209671754880} is an apocalyptic number.

138209671754880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

138209671754880 is an abundant number, since it is smaller than the sum of its proper divisors (342383050557120).

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

138209671754880 is a wasteful number, since it uses less digits than its factorization.

138209671754880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6544018582 (or 6544018570 counting only the distinct ones).

The product of its (nonzero) digits is 162570240, while the sum is 69.

The spelling of 138209671754880 in words is "one hundred thirty-eight trillion, two hundred nine billion, six hundred seventy-one million, seven hundred fifty-four thousand, eight hundred eighty".