153045105131424 has 192 divisors, whose sum is σ = 447558628608000. Its totient is φ = 45400485795840.

The previous prime is 153045105131411. The next prime is 153045105131431. The reversal of 153045105131424 is 424131501540351.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9751692 + ... + 20029620.

It is an arithmetic number, because the mean of its divisors is an integer number (2331034524000).

Almost surely, 2^{153045105131424} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 153045105131424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223779314304000).

153045105131424 is an abundant number, since it is smaller than the sum of its proper divisors (294513523476576).

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

153045105131424 is a wasteful number, since it uses less digits than its factorization.

153045105131424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10278251 (or 10278243 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 39.

Adding to 153045105131424 its reverse (424131501540351), we get a palindrome (577176606671775).

The spelling of 153045105131424 in words is "one hundred fifty-three trillion, forty-five billion, one hundred five million, one hundred thirty-one thousand, four hundred twenty-four".