152943661728 has 384 divisors, whose sum is σ = 554908112640. Its totient is φ = 40264335360.

The previous prime is 152943661709. The next prime is 152943661769. The reversal of 152943661728 is 827166349251.

It is a happy number.

152943661728 is a `hidden beast` number, since 1 + 529 + 4 + 36 + 61 + 7 + 28 = 666.

152943661728 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2063976 + ... + 2136792.

It is an arithmetic number, because the mean of its divisors is an integer number (1445073210).

Almost surely, 2^152943661728 is an apocalyptic number.

152943661728 is a gapful number since it is divisible by the number (18) 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 152943661728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277454056320).

152943661728 is an abundant number, since it is smaller than the sum of its proper divisors (401964450912).

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

152943661728 is a wasteful number, since it uses less digits than its factorization.

152943661728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72877 (or 72863 counting only the distinct ones).

The product of its digits is 4354560, while the sum is 54.

The spelling of 152943661728 in words is "one hundred fifty-two billion, nine hundred forty-three million, six hundred sixty-one thousand, seven hundred twenty-eight".