190580150975929 has 81 divisors (see below), whose sum is σ = 239448201180237. Its totient is φ = 151480348905600.

The previous prime is 190580150975881. The next prime is 190580150975953. The reversal of 190580150975929 is 929579051085091.

The square root of 190580150975929 is 13805077.

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

It can be written as a sum of positive squares in 4 ways, for example, as 97458654573225 + 93121496402704 = 9872115^2 + 9649948^2 .

It is not a de Polignac number, because 190580150975929 - 2¹³ = 190580150967737 is a prime.

It is a super-2 number, since 2×190580150975929² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (190580150979929) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 37508391669 + ... + 37508396749.

Almost surely, 2^{190580150975929} is an apocalyptic number.

190580150975929 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

190580150975929 is the 13805077-th square number.

190580150975929 is the 6902539-th centered octagonal number.

It is an amenable number.

190580150975929 is a deficient number, since it is larger than the sum of its proper divisors (48868050204308).

190580150975929 is an frugal number, since it uses more digits than its factorization.

190580150975929 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10248 (or 5124 counting only the distinct ones).

The product of its (nonzero) digits is 91854000, while the sum is 70.

The spelling of 190580150975929 in words is "one hundred ninety trillion, five hundred eighty billion, one hundred fifty million, nine hundred seventy-five thousand, nine hundred twenty-nine".