138166154657280 has 960 divisors, whose sum is σ = 509460539867136. Its totient is φ = 34550784000000.

The previous prime is 138166154657263. The next prime is 138166154657339. The reversal of 138166154657280 is 82756451661831.

It is a happy number.

138166154657280 is a `hidden beast` number, since 1 + 3 + 8 + 1 + 6 + 6 + 1 + 54 + 6 + 572 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3390476905 + ... + 3390517655.

Almost surely, 2^{138166154657280} is an apocalyptic number.

138166154657280 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 138166154657280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254730269933568).

138166154657280 is an abundant number, since it is smaller than the sum of its proper divisors (371294385209856).

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

138166154657280 is a wasteful number, since it uses less digits than its factorization.

138166154657280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40959 (or 40940 counting only the distinct ones).

The product of its (nonzero) digits is 58060800, while the sum is 63.

The spelling of 138166154657280 in words is "one hundred thirty-eight trillion, one hundred sixty-six billion, one hundred fifty-four million, six hundred fifty-seven thousand, two hundred eighty".