133676314146000 has 3200 divisors, whose sum is σ = 538309066014720. Its totient is φ = 31875379200000.

The previous prime is 133676314145917. The next prime is 133676314146043. The reversal of 133676314146000 is 641413676331.

It is a happy number.

133676314146000 is a `hidden beast` number, since 1 + 3 + 3 + 6 + 7 + 6 + 31 + 4 + 1 + 4 + 600 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 364240637817 + ... + 364240638183.

Almost surely, 2^{133676314146000} is an apocalyptic number.

133676314146000 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 133676314146000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269154533007360).

133676314146000 is an abundant number, since it is smaller than the sum of its proper divisors (404632751868720).

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

133676314146000 is a wasteful number, since it uses less digits than its factorization.

133676314146000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 564 (or 539 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

The spelling of 133676314146000 in words is "one hundred thirty-three trillion, six hundred seventy-six billion, three hundred fourteen million, one hundred forty-six thousand".