152211360 has 192 divisors, whose sum is σ = 555206400. Its totient is φ = 34332672.

The previous prime is 152211347. The next prime is 152211361. The reversal of 152211360 is 63112251.

It is a super-2 number, since 2×152211360² = 46336596226099200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (152211361) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 298786 + ... + 299294.

It is an arithmetic number, because the mean of its divisors is an integer number (2891700).

Almost surely, 2^152211360 is an apocalyptic number.

152211360 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 152211360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277603200).

152211360 is an abundant number, since it is smaller than the sum of its proper divisors (402995040).

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

152211360 is a wasteful number, since it uses less digits than its factorization.

152211360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 623 (or 615 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 152211360 is about 12337.3968080791. The cubic root of 152211360 is about 533.9275806910.

The spelling of 152211360 in words is "one hundred fifty-two million, two hundred eleven thousand, three hundred sixty".