152214200 has 48 divisors (see below), whose sum is σ = 361450080. Its totient is φ = 59586560.

The previous prime is 152214197. The next prime is 152214229. The reversal of 152214200 is 2412251.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1304 + ... + 17496.

It is an arithmetic number, because the mean of its divisors is an integer number (7530210).

Almost surely, 2^152214200 is an apocalyptic number.

152214200 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 152214200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180725040).

152214200 is an abundant number, since it is smaller than the sum of its proper divisors (209235880).

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

152214200 is a wasteful number, since it uses less digits than its factorization.

152214200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16256 (or 16247 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 17.

The square root of 152214200 is about 12337.5119047562. The cubic root of 152214200 is about 533.9309013913.

Adding to 152214200 its reverse (2412251), we get a palindrome (154626451).

The spelling of 152214200 in words is "one hundred fifty-two million, two hundred fourteen thousand, two hundred".