133216151040000 has 2600 divisors, whose sum is σ = 580233645173600. Its totient is φ = 30433148928000.

The previous prime is 133216151039971. The next prime is 133216151040019. The reversal of 133216151040000 is 40151612331.

It is a happy number.

133216151040000 is a `hidden beast` number, since 1 + 3 + 3 + 2 + 1 + 615 + 1 + 0 + 40 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 199 ways as a sum of consecutive naturals, for example, 71124479064 + ... + 71124480936.

Almost surely, 2^{133216151040000} is an apocalyptic number.

133216151040000 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 133216151040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290116822586800).

133216151040000 is an abundant number, since it is smaller than the sum of its proper divisors (447017494133600).

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

133216151040000 is an frugal number, since it uses more digits than its factorization.

133216151040000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1950 (or 1890 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The spelling of 133216151040000 in words is "one hundred thirty-three trillion, two hundred sixteen billion, one hundred fifty-one million, forty thousand".