133964862897600 has 2016 divisors, whose sum is σ = 599027644776960. Its totient is φ = 28520420474880.

The previous prime is 133964862897559. The next prime is 133964862897601. The reversal of 133964862897600 is 6798268469331.

133964862897600 is a `hidden beast` number, since 1 + 3 + 3 + 9 + 6 + 4 + 8 + 6 + 2 + 8 + 9 + 7 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133964862897601) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 8477171299 + ... + 8477187101.

It is an arithmetic number, because the mean of its divisors is an integer number (297136728560).

Almost surely, 2^{133964862897600} is an apocalyptic number.

133964862897600 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 133964862897600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299513822388480).

133964862897600 is an abundant number, since it is smaller than the sum of its proper divisors (465062781879360).

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

133964862897600 is a wasteful number, since it uses less digits than its factorization.

133964862897600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15972 (or 15934 counting only the distinct ones).

The product of its (nonzero) digits is 564350976, while the sum is 72.

The spelling of 133964862897600 in words is "one hundred thirty-three trillion, nine hundred sixty-four billion, eight hundred sixty-two million, eight hundred ninety-seven thousand, six hundred".