2137200 has 120 divisors (see below), whose sum is σ = 7426608. Its totient is φ = 522240.

The previous prime is 2137199. The next prime is 2137211. The reversal of 2137200 is 27312.

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 an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 2137200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15532 + ... + 15668.

2^2137200 is an apocalyptic number.

2137200 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 2137200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3713304).

2137200 is an abundant number, since it is smaller than the sum of its proper divisors (5289408).

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

2137200 is a wasteful number, since it uses less digits than its factorization.

2137200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 160 counting only the distinct ones).

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

The square root of 2137200 is about 1461.9165502860. The cubic root of 2137200 is about 128.8096465391.

The spelling of 2137200 in words is "two million, one hundred thirty-seven thousand, two hundred".