965000627136 has 224 divisors, whose sum is σ = 3491598279680. Its totient is φ = 254505618432.

The previous prime is 965000627119. The next prime is 965000627179. The reversal of 965000627136 is 631726000569.

965000627136 is a `hidden beast` number, since 9 + 6 + 5 + 0 + 0 + 0 + 627 + 13 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (224).

It is a junction number, because it is equal to n+sod(n) for n = 965000627091 and 965000627100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2911156 + ... + 3225651.

It is an arithmetic number, because the mean of its divisors is an integer number (15587492320).

Almost surely, 2^965000627136 is an apocalyptic number.

965000627136 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

965000627136 is an abundant number, since it is smaller than the sum of its proper divisors (2526597652544).

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

965000627136 is a wasteful number, since it uses less digits than its factorization.

965000627136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6136848 (or 6136832 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The spelling of 965000627136 in words is "nine hundred sixty-five billion, six hundred twenty-seven thousand, one hundred thirty-six".