133023012426144 has 144 divisors (see below), whose sum is σ = 378716612811264. Its totient is φ = 44290334476800.

The previous prime is 133023012426131. The next prime is 133023012426169. The reversal of 133023012426144 is 441624210320331.

133023012426144 is a `hidden beast` number, since 1 + 3 + 3 + 0 + 2 + 30 + 1 + 2 + 4 + 2 + 614 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×133023012426144² (a number of 29 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 133023012426099 and 133023012426108.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1610582289 + ... + 1610664879.

It is an arithmetic number, because the mean of its divisors is an integer number (2629976477856).

Almost surely, 2^{133023012426144} is an apocalyptic number.

It is an amenable number.

133023012426144 is an abundant number, since it is smaller than the sum of its proper divisors (245693600385120).

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

133023012426144 is a wasteful number, since it uses less digits than its factorization.

133023012426144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88931 (or 88920 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

Adding to 133023012426144 its reverse (441624210320331), we get a palindrome (574647222746475).

The spelling of 133023012426144 in words is "one hundred thirty-three trillion, twenty-three billion, twelve million, four hundred twenty-six thousand, one hundred forty-four".