153044354225034 has 160 divisors (see below), whose sum is σ = 348333181194240. Its totient is φ = 50215562560800.

The previous prime is 153044354224939. The next prime is 153044354225083. The reversal of 153044354225034 is 430522453440351.

153044354225034 is a `hidden beast` number, since 1 + 5 + 3 + 0 + 44 + 354 + 2 + 250 + 3 + 4 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 6478604547 + ... + 6478628169.

It is an arithmetic number, because the mean of its divisors is an integer number (2177082382464).

Almost surely, 2^{153044354225034} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 153044354225034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174166590597120).

153044354225034 is an abundant number, since it is smaller than the sum of its proper divisors (195288826969206).

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

153044354225034 is a wasteful number, since it uses less digits than its factorization.

153044354225034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25238 (or 25229 counting only the distinct ones).

The product of its (nonzero) digits is 3456000, while the sum is 45.

The spelling of 153044354225034 in words is "one hundred fifty-three trillion, forty-four billion, three hundred fifty-four million, two hundred twenty-five thousand, thirty-four".