201125700 has 144 divisors (see below), whose sum is σ = 651972160. Its totient is φ = 53187840.

The previous prime is 201125693. The next prime is 201125753. The reversal of 201125700 is 7521102.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 439872 + ... + 440328.

Almost surely, 2^201125700 is an apocalyptic number.

201125700 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 201125700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325986080).

201125700 is an abundant number, since it is smaller than the sum of its proper divisors (450846460).

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

201125700 is a wasteful number, since it uses less digits than its factorization.

201125700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 643 (or 630 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 18.

The square root of 201125700 is about 14181.8792830852. The cubic root of 201125700 is about 585.8986844687.

Adding to 201125700 its reverse (7521102), we get a palindrome (208646802).

The spelling of 201125700 in words is "two hundred one million, one hundred twenty-five thousand, seven hundred".