133416502560 has 288 divisors, whose sum is σ = 497820593088. Its totient is φ = 32268687360.

The previous prime is 133416502529. The next prime is 133416502567. The reversal of 133416502560 is 65205614331.

133416502560 is a `hidden beast` number, since 1 + 3 + 3 + 41 + 6 + 50 + 2 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (133416502567) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7007614 + ... + 7026626.

It is an arithmetic number, because the mean of its divisors is an integer number (1728543726).

Almost surely, 2^133416502560 is an apocalyptic number.

133416502560 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 133416502560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248910296544).

133416502560 is an abundant number, since it is smaller than the sum of its proper divisors (364404090528).

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

133416502560 is a wasteful number, since it uses less digits than its factorization.

133416502560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19488 (or 19477 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The spelling of 133416502560 in words is "one hundred thirty-three billion, four hundred sixteen million, five hundred two thousand, five hundred sixty".