138071900160000 has 2205 divisors, whose sum is σ = 549590570971981. Its totient is φ = 34653339648000.

The previous prime is 138071900159987. The next prime is 138071900160013. The reversal of 138071900160000 is 61009170831.

The square root of 138071900160000 is 11750400.

It is a perfect power (a square), and thus also a powerful number.

138071900160000 is a `hidden beast` number, since 1 + 38 + 0 + 7 + 19 + 0 + 0 + 1 + 600 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (138071900159987) and next prime (138071900160013).

It can be written as a sum of positive squares in 7 ways, for example, as 67428009639936 + 70643890520064 = 8211456^2 + 8404992^2 .

It is a super-2 number, since 2×138071900160000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 104 ways as a sum of consecutive naturals, for example, 8121876479992 + ... + 8121876480008.

Almost surely, 2^{138071900160000} is an apocalyptic number.

138071900160000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

138071900160000 is the 11750400-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 138071900160000

138071900160000 is an abundant number, since it is smaller than the sum of its proper divisors (411518670811981).

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

138071900160000 is an frugal number, since it uses more digits than its factorization.

138071900160000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 36.

138071900160000 divided by its sum of digits (36) gives a square (3835330560000 = 1958400²).

The spelling of 138071900160000 in words is "one hundred thirty-eight trillion, seventy-one billion, nine hundred million, one hundred sixty thousand".