138210667529760 has 288 divisors, whose sum is σ = 541276933317120. Its totient is φ = 31458829215744.

The previous prime is 138210667529743. The next prime is 138210667529833. The reversal of 138210667529760 is 67925766012831.

138210667529760 is a `hidden beast` number, since 1 + 3 + 8 + 210 + 6 + 6 + 75 + 297 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26275767 + ... + 31094006.

It is an arithmetic number, because the mean of its divisors is an integer number (1879433796240).

Almost surely, 2^{138210667529760} is an apocalyptic number.

138210667529760 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

138210667529760 is an abundant number, since it is smaller than the sum of its proper divisors (403066265787360).

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

138210667529760 is a wasteful number, since it uses less digits than its factorization.

138210667529760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57370040 (or 57370029 counting only the distinct ones).

The product of its (nonzero) digits is 45722880, while the sum is 63.

The spelling of 138210667529760 in words is "one hundred thirty-eight trillion, two hundred ten billion, six hundred sixty-seven million, five hundred twenty-nine thousand, seven hundred sixty".