152355460488 has 512 divisors, whose sum is σ = 509607936000. Its totient is φ = 37555795200.

The previous prime is 152355460469. The next prime is 152355460541. The reversal of 152355460488 is 884064553251.

152355460488 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 152355460488.

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 127 ways as a sum of consecutive naturals, for example, 397794745 + ... + 397795127.

It is an arithmetic number, because the mean of its divisors is an integer number (995328000).

Almost surely, 2^152355460488 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 152355460488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254803968000).

152355460488 is an abundant number, since it is smaller than the sum of its proper divisors (357252475512).

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

152355460488 is a wasteful number, since it uses less digits than its factorization.

152355460488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 638 (or 620 counting only the distinct ones).

The product of its (nonzero) digits is 4608000, while the sum is 51.

The spelling of 152355460488 in words is "one hundred fifty-two billion, three hundred fifty-five million, four hundred sixty thousand, four hundred eighty-eight".