145032133413321 has 48 divisors (see below), whose sum is σ = 262550861733888. Its totient is φ = 74946910514400.

The previous prime is 145032133413227. The next prime is 145032133413337. The reversal of 145032133413321 is 123314331230541.

145032133413321 is a `hidden beast` number, since 1 + 4 + 5 + 0 + 3 + 213 + 3 + 413 + 3 + 21 = 666.

It is not a de Polignac number, because 145032133413321 - 2¹⁸ = 145032133151177 is a prime.

It is not an unprimeable number, because it can be changed into a prime (145032133413121) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 547725171 + ... + 547989896.

It is an arithmetic number, because the mean of its divisors is an integer number (5469809619456).

Almost surely, 2^{145032133413321} is an apocalyptic number.

145032133413321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

145032133413321 is a deficient number, since it is larger than the sum of its proper divisors (117518728320567).

145032133413321 is a wasteful number, since it uses less digits than its factorization.

145032133413321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1095715282 (or 1095715279 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

Adding to 145032133413321 its reverse (123314331230541), we get a palindrome (268346464643862).

The spelling of 145032133413321 in words is "one hundred forty-five trillion, thirty-two billion, one hundred thirty-three million, four hundred thirteen thousand, three hundred twenty-one".