133407390477480 has 512 divisors, whose sum is σ = 475999701811200. Its totient is φ = 29275694936064.

The previous prime is 133407390477433. The next prime is 133407390477503. The reversal of 133407390477480 is 84774093704331.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (60).

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 127 ways as a sum of consecutive naturals, for example, 2138490369 + ... + 2138552751.

It is an arithmetic number, because the mean of its divisors is an integer number (929686917600).

Almost surely, 2^{133407390477480} is an apocalyptic number.

133407390477480 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 133407390477480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237999850905600).

133407390477480 is an abundant number, since it is smaller than the sum of its proper divisors (342592311333720).

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

133407390477480 is a wasteful number, since it uses less digits than its factorization.

133407390477480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63353 (or 63349 counting only the distinct ones).

The product of its (nonzero) digits is 42674688, while the sum is 60.

The spelling of 133407390477480 in words is "one hundred thirty-three trillion, four hundred seven billion, three hundred ninety million, four hundred seventy-seven thousand, four hundred eighty".