152221160 has 256 divisors, whose sum is σ = 464486400. Its totient is φ = 43545600.

The previous prime is 152221117. The next prime is 152221163. The reversal of 152221160 is 61122251.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (152221163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2143925 + ... + 2143995.

It is an arithmetic number, because the mean of its divisors is an integer number (1814400).

Almost surely, 2^152221160 is an apocalyptic number.

152221160 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 152221160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232243200).

152221160 is an abundant number, since it is smaller than the sum of its proper divisors (312265240).

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

152221160 is a wasteful number, since it uses less digits than its factorization.

152221160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 20.

The square root of 152221160 is about 12337.7939681290. The cubic root of 152221160 is about 533.9390392707.

The spelling of 152221160 in words is "one hundred fifty-two million, two hundred twenty-one thousand, one hundred sixty".