153145430244 has 63 divisors (see below), whose sum is σ = 401878392307. Its totient is φ = 51041432664.

The previous prime is 153145430209. The next prime is 153145430267. The reversal of 153145430244 is 442034541351.

The square root of 153145430244 is 391338.

It is a perfect power (a square), and thus also a powerful number.

153145430244 is a `hidden beast` number, since 1 + 531 + 4 + 54 + 30 + 2 + 44 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 153145430199 and 153145430208.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 21128629 + ... + 21135875.

Almost surely, 2^153145430244 is an apocalyptic number.

153145430244 is the 391338-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 153145430244

153145430244 is an abundant number, since it is smaller than the sum of its proper divisors (248732962063).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

153145430244 is an frugal number, since it uses more digits than its factorization.

153145430244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14516 (or 7252 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

Multiplying 153145430244 by its sum of digits (36), we get a square (5513235488784 = 2348028²).

153145430244 divided by its sum of digits (36) gives a square (4254039729 = 65223²).

Adding to 153145430244 its reverse (442034541351), we get a palindrome (595179971595).

The spelling of 153145430244 in words is "one hundred fifty-three billion, one hundred forty-five million, four hundred thirty thousand, two hundred forty-four".