133664355375600 has 1440 divisors, whose sum is σ = 528605722624000. Its totient is φ = 28203328051200.

The previous prime is 133664355375587. The next prime is 133664355375613. The reversal of 133664355375600 is 6573553466331.

133664355375600 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (133664355375587) and next prime (133664355375613).

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 95542783701 + ... + 95542785099.

Almost surely, 2^{133664355375600} is an apocalyptic number.

133664355375600 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 133664355375600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264302861312000).

133664355375600 is an abundant number, since it is smaller than the sum of its proper divisors (394941367248400).

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

133664355375600 is a wasteful number, since it uses less digits than its factorization.

133664355375600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1811 (or 1753 counting only the distinct ones).

The product of its (nonzero) digits is 61236000, while the sum is 57.

The spelling of 133664355375600 in words is "one hundred thirty-three trillion, six hundred sixty-four billion, three hundred fifty-five million, three hundred seventy-five thousand, six hundred".