133564948807608 has 24 divisors (see below), whose sum is σ = 361738403020800. Its totient is φ = 44521649602512.

The previous prime is 133564948807603. The next prime is 133564948807621. The reversal of 133564948807608 is 806708849465331.

133564948807608 is a `hidden beast` number, since 1 + 3 + 3 + 5 + 6 + 4 + 9 + 4 + 8 + 8 + 0 + 7 + 608 = 666.

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (72), and also a Moran number because the ratio is a prime number: 1855068733439 = 133564948807608 / (1 + 3 + 3 + 5 + 6 + 4 + 9 + 4 + 8 + 8 + 0 + 7 + 6 + 0 + 8).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133564948807603) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 927534366648 + ... + 927534366791.

It is an arithmetic number, because the mean of its divisors is an integer number (15072433459200).

Almost surely, 2^{133564948807608} is an apocalyptic number.

133564948807608 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

133564948807608 is an abundant number, since it is smaller than the sum of its proper divisors (228173454213192).

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

133564948807608 is a wasteful number, since it uses less digits than its factorization.

133564948807608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1855068733451 (or 1855068733444 counting only the distinct ones).

The product of its (nonzero) digits is 836075520, while the sum is 72.

The spelling of 133564948807608 in words is "one hundred thirty-three trillion, five hundred sixty-four billion, nine hundred forty-eight million, eight hundred seven thousand, six hundred eight".