152321727360 has 512 divisors, whose sum is σ = 539766374400. Its totient is φ = 36229939200.

The previous prime is 152321727307. The next prime is 152321727367. The reversal of 152321727360 is 63727123251.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152321727367) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 292363900 + ... + 292364420.

It is an arithmetic number, because the mean of its divisors is an integer number (1054231200).

Almost surely, 2^152321727360 is an apocalyptic number.

152321727360 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 152321727360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269883187200).

152321727360 is an abundant number, since it is smaller than the sum of its proper divisors (387444647040).

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

152321727360 is a wasteful number, since it uses less digits than its factorization.

152321727360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 790 (or 778 counting only the distinct ones).

The product of its (nonzero) digits is 105840, while the sum is 39.

The spelling of 152321727360 in words is "one hundred fifty-two billion, three hundred twenty-one million, seven hundred twenty-seven thousand, three hundred sixty".