205130757674000 has 40 divisors (see below), whose sum is σ = 496006172060568. Its totient is φ = 82052303068800.

The previous prime is 205130757673993. The next prime is 205130757674023. The reversal of 205130757674000 is 476757031502.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 47670021305104 + 157460736368896 = 6904348^2 + 12548336^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-3 number, since 3×205130757674000³ (a number of 44 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 51282687419 + ... + 51282691418.

Almost surely, 2^{205130757674000} is an apocalyptic number.

205130757674000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

205130757674000 is an abundant number, since it is smaller than the sum of its proper divisors (290875414386568).

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

205130757674000 is a wasteful number, since it uses less digits than its factorization.

205130757674000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102565378860 (or 102565378844 counting only the distinct ones).

The product of its (nonzero) digits is 1234800, while the sum is 47.

The spelling of 205130757674000 in words is "two hundred five trillion, one hundred thirty billion, seven hundred fifty-seven million, six hundred seventy-four thousand".