152743953449472 has 640 divisors, whose sum is σ = 526776398438400. Its totient is φ = 38163062784000.

The previous prime is 152743953449413. The next prime is 152743953449531. The reversal of 152743953449472 is 274944359347251.

It is an interprime number because it is at equal distance from previous prime (152743953449413) and next prime (152743953449531).

It is a junction number, because it is equal to n+sod(n) for n = 152743953449397 and 152743953449406.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 922557097 + ... + 922722647.

It is an arithmetic number, because the mean of its divisors is an integer number (823088122560).

Almost surely, 2^{152743953449472} is an apocalyptic number.

152743953449472 is a gapful number since it is divisible by the number (12) 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 152743953449472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263388199219200).

152743953449472 is an abundant number, since it is smaller than the sum of its proper divisors (374032444988928).

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

152743953449472 is a wasteful number, since it uses less digits than its factorization.

152743953449472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165888 (or 165872 counting only the distinct ones).

The product of its digits is 914457600, while the sum is 69.

The spelling of 152743953449472 in words is "one hundred fifty-two trillion, seven hundred forty-three billion, nine hundred fifty-three million, four hundred forty-nine thousand, four hundred seventy-two".