152838309888 has 576 divisors, whose sum is σ = 508209811200. Its totient is φ = 45335347200.

The previous prime is 152838309853. The next prime is 152838309913. The reversal of 152838309888 is 888903838251.

It is a tau number, because it is divible by the number of its divisors (576).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 354613033 + ... + 354613463.

It is an arithmetic number, because the mean of its divisors is an integer number (882308700).

Almost surely, 2^152838309888 is an apocalyptic number.

152838309888 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 152838309888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254104905600).

152838309888 is an abundant number, since it is smaller than the sum of its proper divisors (355371501312).

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

152838309888 is a wasteful number, since it uses less digits than its factorization.

152838309888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 537 (or 500 counting only the distinct ones).

The product of its (nonzero) digits is 26542080, while the sum is 63.

The spelling of 152838309888 in words is "one hundred fifty-two billion, eight hundred thirty-eight million, three hundred nine thousand, eight hundred eighty-eight".