152088008705292 has 192 divisors, whose sum is σ = 400998680248320. Its totient is φ = 44464723430400.

The previous prime is 152088008705273. The next prime is 152088008705309. The reversal of 152088008705292 is 292507800880251.

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, 3465265684 + ... + 3465309572.

It is an arithmetic number, because the mean of its divisors is an integer number (2088534792960).

Almost surely, 2^{152088008705292} is an apocalyptic number.

152088008705292 is a gapful number since it is divisible by the number (12) 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 152088008705292, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200499340124160).

152088008705292 is an abundant number, since it is smaller than the sum of its proper divisors (248910671543028).

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

152088008705292 is a wasteful number, since it uses less digits than its factorization.

152088008705292 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51892 (or 51890 counting only the distinct ones).

The product of its (nonzero) digits is 6451200, while the sum is 57.

The spelling of 152088008705292 in words is "one hundred fifty-two trillion, eighty-eight billion, eight million, seven hundred five thousand, two hundred ninety-two".