133054414601460 has 192 divisors, whose sum is σ = 411994938781440. Its totient is φ = 31816219668480.

The previous prime is 133054414601419. The next prime is 133054414601461. The reversal of 133054414601460 is 64106414450331.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133054414601461) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 9509586 + ... + 18882294.

It is an arithmetic number, because the mean of its divisors is an integer number (2145806972820).

Almost surely, 2^{133054414601460} is an apocalyptic number.

133054414601460 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 133054414601460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205997469390720).

133054414601460 is an abundant number, since it is smaller than the sum of its proper divisors (278940524179980).

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

133054414601460 is a wasteful number, since it uses less digits than its factorization.

133054414601460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9373026 (or 9373024 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 42.

The spelling of 133054414601460 in words is "one hundred thirty-three trillion, fifty-four billion, four hundred fourteen million, six hundred one thousand, four hundred sixty".