133738622481024 has 1152 divisors, whose sum is σ = 456277368019200. Its totient is φ = 38929199063040.

The previous prime is 133738622481007. The next prime is 133738622481043. The reversal of 133738622481024 is 420184226837331.

133738622481024 is a `hidden beast` number, since 1 + 3 + 3 + 7 + 3 + 8 + 622 + 4 + 8 + 1 + 0 + 2 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 11000949954 + ... + 11000962110.

Almost surely, 2^{133738622481024} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133738622481024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228138684009600).

133738622481024 is an abundant number, since it is smaller than the sum of its proper divisors (322538745538176).

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

133738622481024 is a wasteful number, since it uses less digits than its factorization.

133738622481024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12324 (or 12289 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 54.

The spelling of 133738622481024 in words is "one hundred thirty-three trillion, seven hundred thirty-eight billion, six hundred twenty-two million, four hundred eighty-one thousand, twenty-four".