632146277133 has 64 divisors (see below), whose sum is σ = 1073906496000. Its totient is φ = 360011008512.

The previous prime is 632146277117. The next prime is 632146277143. The reversal of 632146277133 is 331772641236.

632146277133 is a `hidden beast` number, since 6 + 3 + 2 + 1 + 4 + 627 + 7 + 13 + 3 = 666.

It is not a de Polignac number, because 632146277133 - 2⁴ = 632146277117 is a prime.

It is a super-2 number, since 2×632146277133² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (632146277143) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 121821703 + ... + 121826891.

It is an arithmetic number, because the mean of its divisors is an integer number (16779789000).

Almost surely, 2^632146277133 is an apocalyptic number.

632146277133 is a gapful number since it is divisible by the number (63) formed by its first and last digit.

It is an amenable number.

632146277133 is a deficient number, since it is larger than the sum of its proper divisors (441760218867).

632146277133 is a wasteful number, since it uses less digits than its factorization.

632146277133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7251 (or 7245 counting only the distinct ones).

The product of its digits is 762048, while the sum is 45.

The spelling of 632146277133 in words is "six hundred thirty-two billion, one hundred forty-six million, two hundred seventy-seven thousand, one hundred thirty-three".