153144345145 has 48 divisors (see below), whose sum is σ = 204274331856. Its totient is φ = 110126016000.

The previous prime is 153144345139. The next prime is 153144345149. The reversal of 153144345145 is 541543441351.

It can be written as a sum of positive squares in 8 ways, for example, as 28488038656 + 124656306489 = 168784^2 + 353067^2 .

It is not a de Polignac number, because 153144345145 - 2²⁵ = 153110790713 is a prime.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 153144345098 and 153144345107.

It is not an unprimeable number, because it can be changed into a prime (153144345149) 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, 66786619 + ... + 66788911.

It is an arithmetic number, because the mean of its divisors is an integer number (4255715247).

Almost surely, 2^153144345145 is an apocalyptic number.

It is an amenable number.

153144345145 is a deficient number, since it is larger than the sum of its proper divisors (51129986711).

153144345145 is a wasteful number, since it uses less digits than its factorization.

153144345145 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3514 (or 3503 counting only the distinct ones).

The product of its digits is 288000, while the sum is 40.

Adding to 153144345145 its reverse (541543441351), we get a palindrome (694687786496).

The spelling of 153144345145 in words is "one hundred fifty-three billion, one hundred forty-four million, three hundred forty-five thousand, one hundred forty-five".