152723362821120 has 1584 divisors, whose sum is σ = 664047906329808. Its totient is φ = 32168717844480.

The previous prime is 152723362821077. The next prime is 152723362821149. The reversal of 152723362821120 is 21128263327251.

152723362821120 is a `hidden beast` number, since 1 + 5 + 2 + 7 + 2 + 3 + 3 + 628 + 2 + 1 + 12 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 6296325525504 + 146427037295616 = 2509248^2 + 12100704^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 18815243302 + ... + 18815251418.

It is an arithmetic number, because the mean of its divisors is an integer number (419222163087).

Almost surely, 2^{152723362821120} is an apocalyptic number.

152723362821120 is a gapful number since it is divisible by the number (10) 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 152723362821120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332023953164904).

152723362821120 is an abundant number, since it is smaller than the sum of its proper divisors (511324543508688).

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

152723362821120 is a wasteful number, since it uses less digits than its factorization.

152723362821120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8816 (or 8788 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 152723362821120 in words is "one hundred fifty-two trillion, seven hundred twenty-three billion, three hundred sixty-two million, eight hundred twenty-one thousand, one hundred twenty".