201137920 has 144 divisors (see below), whose sum is σ = 514499328. Its totient is φ = 75202560.

The previous prime is 201137899. The next prime is 201137927. The reversal of 201137920 is 29731102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201137927) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1468092 + ... + 1468228.

It is an arithmetic number, because the mean of its divisors is an integer number (3572912).

Almost surely, 2^201137920 is an apocalyptic number.

201137920 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 201137920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257249664).

201137920 is an abundant number, since it is smaller than the sum of its proper divisors (313361408).

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

201137920 is a wasteful number, since it uses less digits than its factorization.

201137920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 25.

The square root of 201137920 is about 14182.3101080184. The cubic root of 201137920 is about 585.9105502437.

The spelling of 201137920 in words is "two hundred one million, one hundred thirty-seven thousand, nine hundred twenty".