95206805136 has 105 divisors (see below), whose sum is σ = 276665097081. Its totient is φ = 31724493696.

The previous prime is 95206805123. The next prime is 95206805179. The reversal of 95206805136 is 63150860259.

The square root of 95206805136 is 308556.

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

95206805136 is a `hidden beast` number, since 9 + 52 + 0 + 6 + 80 + 513 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 64140627600 + 31066177536 = 253260^2 + 176256^2 .

It is a super-3 number, since 3×95206805136³ (a number of 34 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 95206805091 and 95206805100.

It is an unprimeable number.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 33322620 + ... + 33325476.

Almost surely, 2^95206805136 is an apocalyptic number.

95206805136 is the 308556-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 95206805136

95206805136 is an abundant number, since it is smaller than the sum of its proper divisors (181458291945).

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

95206805136 is an frugal number, since it uses more digits than its factorization.

95206805136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5740 (or 2862 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The spelling of 95206805136 in words is "ninety-five billion, two hundred six million, eight hundred five thousand, one hundred thirty-six".