145824744057 has 8 divisors (see below), whose sum is σ = 205870226976. Its totient is φ = 91497878592.

The previous prime is 145824744053. The next prime is 145824744059. The reversal of 145824744057 is 750447428541.

145824744057 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 145824744057 - 2² = 145824744053 is a prime.

It is a super-3 number, since 3×145824744057³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51), and also a Moran number because the ratio is a prime number: 2859308707 = 145824744057 / (1 + 4 + 5 + 8 + 2 + 4 + 7 + 4 + 4 + 0 + 5 + 7).

It is not an unprimeable number, because it can be changed into a prime (145824744053) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1429654303 + ... + 1429654404.

It is an arithmetic number, because the mean of its divisors is an integer number (25733778372).

Almost surely, 2^145824744057 is an apocalyptic number.

145824744057 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

145824744057 is a deficient number, since it is larger than the sum of its proper divisors (60045482919).

145824744057 is a wasteful number, since it uses less digits than its factorization.

145824744057 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2859308727.

The product of its (nonzero) digits is 5017600, while the sum is 51.

The spelling of 145824744057 in words is "one hundred forty-five billion, eight hundred twenty-four million, seven hundred forty-four thousand, fifty-seven".