133431701760 has 720 divisors, whose sum is σ = 550816269696. Its totient is φ = 30210195456.

The previous prime is 133431701747. The next prime is 133431701771. The reversal of 133431701760 is 67107134331.

133431701760 is a `hidden beast` number, since 1 + 334 + 317 + 0 + 1 + 7 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 82010067 + ... + 82011693.

Almost surely, 2^133431701760 is an apocalyptic number.

133431701760 is a gapful number since it is divisible by the number (10) 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 133431701760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275408134848).

133431701760 is an abundant number, since it is smaller than the sum of its proper divisors (417384567936).

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

133431701760 is a wasteful number, since it uses less digits than its factorization.

133431701760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1780 (or 1757 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 36.

The spelling of 133431701760 in words is "one hundred thirty-three billion, four hundred thirty-one million, seven hundred one thousand, seven hundred sixty".