153120074731344 has 480 divisors, whose sum is σ = 499038713192448. Its totient is φ = 42924252672000.

The previous prime is 153120074731277. The next prime is 153120074731361. The reversal of 153120074731344 is 443137470021351.

153120074731344 is a `hidden beast` number, since 1 + 5 + 3 + 1 + 200 + 74 + 7 + 31 + 344 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 153120074731344.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 43861377439 + ... + 43861380929.

Almost surely, 2^{153120074731344} is an apocalyptic number.

153120074731344 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 153120074731344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249519356596224).

153120074731344 is an abundant number, since it is smaller than the sum of its proper divisors (345918638461104).

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

153120074731344 is a wasteful number, since it uses less digits than its factorization.

153120074731344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6367 (or 6358 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 45.

The spelling of 153120074731344 in words is "one hundred fifty-three trillion, one hundred twenty billion, seventy-four million, seven hundred thirty-one thousand, three hundred forty-four".