20157200 has 120 divisors (see below), whose sum is σ = 57936768. Its totient is φ = 6589440.

The previous prime is 20157187. The next prime is 20157209. The reversal of 20157200 is 275102.

20157200 = T₁₄₉ + T₁₅₀ + ... + T₄₉₈.

It is not an unprimeable number, because it can be changed into a prime (20157209) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 64244 + ... + 64556.

Almost surely, 2^20157200 is an apocalyptic number.

20157200 is a gapful number since it is divisible by the number (20) 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 20157200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28968384).

20157200 is an abundant number, since it is smaller than the sum of its proper divisors (37779568).

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

20157200 is a wasteful number, since it uses less digits than its factorization.

20157200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 361 (or 350 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 17.

The square root of 20157200 is about 4489.6770485192. The cubic root of 20157200 is about 272.1510838842.

The spelling of 20157200 in words is "twenty million, one hundred fifty-seven thousand, two hundred".