133215436421760 has 512 divisors, whose sum is σ = 557264858572800. Its totient is φ = 26224227532800.

The previous prime is 133215436421707. The next prime is 133215436421761. The reversal of 133215436421760 is 67124634512331.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (133215436421761) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20903631 + ... + 26521550.

It is an arithmetic number, because the mean of its divisors is an integer number (1088407926900).

Almost surely, 2^{133215436421760} is an apocalyptic number.

133215436421760 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133215436421760 is an abundant number, since it is smaller than the sum of its proper divisors (424049422151040).

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

133215436421760 is a wasteful number, since it uses less digits than its factorization.

133215436421760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47425240 (or 47425228 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 48.

The spelling of 133215436421760 in words is "one hundred thirty-three trillion, two hundred fifteen billion, four hundred thirty-six million, four hundred twenty-one thousand, seven hundred sixty".