145153005214399 has 64 divisors (see below), whose sum is σ = 186873100001280. Its totient is φ = 109584676776960.

The previous prime is 145153005214387. The next prime is 145153005214403. The reversal of 145153005214399 is 993412500351541.

It is not a de Polignac number, because 145153005214399 - 2²⁷ = 145152870996671 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145153005214339) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1589644357 + ... + 1589735665.

It is an arithmetic number, because the mean of its divisors is an integer number (2919892187520).

Almost surely, 2^{145153005214399} is an apocalyptic number.

145153005214399 is a deficient number, since it is larger than the sum of its proper divisors (41720094786881).

145153005214399 is a wasteful number, since it uses less digits than its factorization.

145153005214399 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93200.

The product of its (nonzero) digits is 2916000, while the sum is 52.

The spelling of 145153005214399 in words is "one hundred forty-five trillion, one hundred fifty-three billion, five million, two hundred fourteen thousand, three hundred ninety-nine".