20137200 has 120 divisors (see below), whose sum is σ = 65547888. Its totient is φ = 5283840.

The previous prime is 20137199. The next prime is 20137217. The reversal of 20137200 is 273102.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 20137200.

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 23 ways as a sum of consecutive naturals, for example, 116314 + ... + 116486.

Almost surely, 2^20137200 is an apocalyptic number.

20137200 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 20137200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32773944).

20137200 is an abundant number, since it is smaller than the sum of its proper divisors (45410688).

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

20137200 is a wasteful number, since it uses less digits than its factorization.

20137200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 15.

The square root of 20137200 is about 4487.4491640575. The cubic root of 20137200 is about 272.0610445457.

It can be divided in two parts, 201 and 37200, that added together give a triangular number (37401 = T₂₇₃).

The spelling of 20137200 in words is "twenty million, one hundred thirty-seven thousand, two hundred".