133020540463136 has 96 divisors (see below), whose sum is σ = 273416746337280. Its totient is φ = 63626348620800.

The previous prime is 133020540463127. The next prime is 133020540463147. The reversal of 133020540463136 is 631364045020331.

It is a junction number, because it is equal to n+sod(n) for n = 133020540463093 and 133020540463102.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44058185 + ... + 46980471.

It is an arithmetic number, because the mean of its divisors is an integer number (2848091107680).

Almost surely, 2^{133020540463136} is an apocalyptic number.

133020540463136 is a gapful number since it is divisible by the number (16) 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 133020540463136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136708373168640).

133020540463136 is an abundant number, since it is smaller than the sum of its proper divisors (140396205874144).

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

133020540463136 is a wasteful number, since it uses less digits than its factorization.

133020540463136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2922778 (or 2922770 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 41.

Adding to 133020540463136 its reverse (631364045020331), we get a palindrome (764384585483467).

The spelling of 133020540463136 in words is "one hundred thirty-three trillion, twenty billion, five hundred forty million, four hundred sixty-three thousand, one hundred thirty-six".