73106585136 has 90 divisors (see below), whose sum is σ = 221545830948. Its totient is φ = 22494326400.

The previous prime is 73106585099. The next prime is 73106585147. The reversal of 73106585136 is 63158560137.

73106585136 is a `hidden beast` number, since 7 + 31 + 0 + 6 + 585 + 1 + 36 = 666.

It is a super-2 number, since 2×73106585136² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 73106585091 and 73106585100.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1477690 + ... + 1526361.

Almost surely, 2^73106585136 is an apocalyptic number.

It is an amenable number.

73106585136 is an abundant number, since it is smaller than the sum of its proper divisors (148439245812).

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

73106585136 is a wasteful number, since it uses less digits than its factorization.

73106585136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3004091 (or 3004069 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The spelling of 73106585136 in words is "seventy-three billion, one hundred six million, five hundred eighty-five thousand, one hundred thirty-six".