145303022133 has 24 divisors (see below), whose sum is σ = 214632007200. Its totient is φ = 94694783904.

The previous prime is 145303022071. The next prime is 145303022209. The reversal of 145303022133 is 331220303541.

145303022133 is a `hidden beast` number, since 145 + 3 + 0 + 302 + 213 + 3 = 666.

It is not a de Polignac number, because 145303022133 - 2²⁵ = 145269467701 is a prime.

It is a super-3 number, since 3×145303022133³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 145303022097 and 145303022106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145303022533) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 669310 + ... + 859407.

It is an arithmetic number, because the mean of its divisors is an integer number (8943000300).

Almost surely, 2^145303022133 is an apocalyptic number.

It is an amenable number.

145303022133 is a deficient number, since it is larger than the sum of its proper divisors (69328985067).

145303022133 is a wasteful number, since it uses less digits than its factorization.

145303022133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1528961 (or 1528958 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

Adding to 145303022133 its reverse (331220303541), we get a palindrome (476523325674).

The spelling of 145303022133 in words is "one hundred forty-five billion, three hundred three million, twenty-two thousand, one hundred thirty-three".