133761660000 has 480 divisors, whose sum is σ = 456359793120. Its totient is φ = 34265088000.

The previous prime is 133761659947. The next prime is 133761660007. The reversal of 133761660000 is 66167331.

It is a tau number, because it is divible by the number of its divisors (480).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133761660007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 197579662 + ... + 197580338.

It is an arithmetic number, because the mean of its divisors is an integer number (950749569).

Almost surely, 2^133761660000 is an apocalyptic number.

133761660000 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 133761660000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228179896560).

133761660000 is an abundant number, since it is smaller than the sum of its proper divisors (322598133120).

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

133761660000 is an equidigital number, since it uses as much as digits as its factorization.

133761660000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 836 (or 813 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 33.

The spelling of 133761660000 in words is "one hundred thirty-three billion, seven hundred sixty-one million, six hundred sixty thousand".