136185583001 has 32 divisors (see below), whose sum is σ = 150173200800. Its totient is φ = 122733895680.

The previous prime is 136185582971. The next prime is 136185583019. The reversal of 136185583001 is 100385581631.

It can be written as a sum of positive squares in 16 ways, for example, as 37479024025 + 98706558976 = 193595^2 + 314176^2 .

It is a cyclic number.

It is not a de Polignac number, because 136185583001 - 2¹⁴ = 136185566617 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 136185583001.

It is not an unprimeable number, because it can be changed into a prime (136185583091) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 72093065 + ... + 72094953.

It is an arithmetic number, because the mean of its divisors is an integer number (4692912525).

Almost surely, 2^136185583001 is an apocalyptic number.

It is an amenable number.

136185583001 is a deficient number, since it is larger than the sum of its proper divisors (13987617799).

136185583001 is a wasteful number, since it uses less digits than its factorization.

136185583001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2589.

The product of its (nonzero) digits is 86400, while the sum is 41.

The spelling of 136185583001 in words is "one hundred thirty-six billion, one hundred eighty-five million, five hundred eighty-three thousand, one".