138373072158720 has 1344 divisors, whose sum is σ = 538537102516224. Its totient is φ = 29653393735680.

The previous prime is 138373072158707. The next prime is 138373072158767. The reversal of 138373072158720 is 27851270373831.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 134212484605 + ... + 134212485635.

It is an arithmetic number, because the mean of its divisors is an integer number (400697248896).

Almost surely, 2^{138373072158720} is an apocalyptic number.

138373072158720 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 138373072158720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269268551258112).

138373072158720 is an abundant number, since it is smaller than the sum of its proper divisors (400164030357504).

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

138373072158720 is an frugal number, since it uses more digits than its factorization.

138373072158720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1162 (or 1124 counting only the distinct ones).

The product of its (nonzero) digits is 11854080, while the sum is 57.

The spelling of 138373072158720 in words is "one hundred thirty-eight trillion, three hundred seventy-three billion, seventy-two million, one hundred fifty-eight thousand, seven hundred twenty".