152872160 has 288 divisors, whose sum is σ = 471598848. Its totient is φ = 46448640.

The previous prime is 152872151. The next prime is 152872199. The reversal of 152872160 is 61278251.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4131662 + ... + 4131698.

It is an arithmetic number, because the mean of its divisors is an integer number (1637496).

Almost surely, 2^152872160 is an apocalyptic number.

152872160 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 152872160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235799424).

152872160 is an abundant number, since it is smaller than the sum of its proper divisors (318726688).

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

152872160 is a wasteful number, since it uses less digits than its factorization.

152872160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 32.

The square root of 152872160 is about 12364.1481712247. The cubic root of 152872160 is about 534.6991175080.

The spelling of 152872160 in words is "one hundred fifty-two million, eight hundred seventy-two thousand, one hundred sixty".