133731247876704 has 144 divisors (see below), whose sum is σ = 393606104083920. Its totient is φ = 43018703078400.

The previous prime is 133731247876697. The next prime is 133731247876729. The reversal of 133731247876704 is 407678742137331.

133731247876704 is a `hidden beast` number, since 1 + 3 + 373 + 124 + 7 + 8 + 76 + 70 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12979854 + ... + 20879154.

It is an arithmetic number, because the mean of its divisors is an integer number (2733375722805).

Almost surely, 2^{133731247876704} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133731247876704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196803052041960).

133731247876704 is an abundant number, since it is smaller than the sum of its proper divisors (259874856207216).

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

133731247876704 is a wasteful number, since it uses less digits than its factorization.

133731247876704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7901373 (or 7901362 counting only the distinct ones).

The product of its (nonzero) digits is 99574272, while the sum is 63.

The spelling of 133731247876704 in words is "one hundred thirty-three trillion, seven hundred thirty-one billion, two hundred forty-seven million, eight hundred seventy-six thousand, seven hundred four".