152422346160 has 800 divisors, whose sum is σ = 617734605312. Its totient is φ = 34116526080.

The previous prime is 152422346149. The next prime is 152422346339. The reversal of 152422346160 is 61643224251.

152422346160 is a `hidden beast` number, since 1 + 5 + 2 + 4 + 2 + 2 + 34 + 616 + 0 = 666.

152422346160 is digitally balanced in base 2, 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 (36).

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 159 ways as a sum of consecutive naturals, for example, 671463967 + ... + 671464193.

Almost surely, 2^152422346160 is an apocalyptic number.

152422346160 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 152422346160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308867302656).

152422346160 is an abundant number, since it is smaller than the sum of its proper divisors (465312259152).

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

152422346160 is a wasteful number, since it uses less digits than its factorization.

152422346160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 503 (or 488 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 152422346160 in words is "one hundred fifty-two billion, four hundred twenty-two million, three hundred forty-six thousand, one hundred sixty".