133531061767488 has 672 divisors, whose sum is σ = 505343062268928. Its totient is φ = 32637531340800.

The previous prime is 133531061767483. The next prime is 133531061767529. The reversal of 133531061767488 is 884767160135331.

133531061767488 is a `hidden beast` number, since 1 + 3 + 3 + 5 + 3 + 1 + 0 + 617 + 6 + 7 + 4 + 8 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133531061767483) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5798879431 + ... + 5798902457.

Almost surely, 2^{133531061767488} is an apocalyptic number.

133531061767488 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133531061767488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252671531134464).

133531061767488 is an abundant number, since it is smaller than the sum of its proper divisors (371812000501440).

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

133531061767488 is a wasteful number, since it uses less digits than its factorization.

133531061767488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30771 (or 30758 counting only the distinct ones).

The product of its (nonzero) digits is 60963840, while the sum is 63.

The spelling of 133531061767488 in words is "one hundred thirty-three trillion, five hundred thirty-one billion, sixty-one million, seven hundred sixty-seven thousand, four hundred eighty-eight".