138650625000000 has 693 divisors, whose sum is σ = 499955519546067. Its totient is φ = 36738000000000.

The previous prime is 138650624999989. The next prime is 138650625000049. The reversal of 138650625000000 is 526056831.

The square root of 138650625000000 is 11775000.

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

138650625000000 is a `hidden beast` number, since 1 + 38 + 65 + 0 + 62 + 500 + 0 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 88134694208064 + 50515930791936 = 9388008^2 + 7107456^2 .

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

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 98 ways as a sum of consecutive naturals, for example, 883124999922 + ... + 883125000078.

Almost surely, 2^{138650625000000} is an apocalyptic number.

138650625000000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

138650625000000 is the 11775000-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 138650625000000

138650625000000 is an abundant number, since it is smaller than the sum of its proper divisors (361304894546067).

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

138650625000000 is an frugal number, since it uses more digits than its factorization.

138650625000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 382 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

138650625000000 divided by its sum of digits (36) gives a square (3851406250000 = 1962500²).

The spelling of 138650625000000 in words is "one hundred thirty-eight trillion, six hundred fifty billion, six hundred twenty-five million", and thus it is an aban number.