201132000 has 288 divisors, whose sum is σ = 737964864. Its totient is φ = 51840000.

The previous prime is 201131993. The next prime is 201132011. The reversal of 201132000 is 231102.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

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, 1331925 + ... + 1332075.

It is an arithmetic number, because the mean of its divisors is an integer number (2562378).

Almost surely, 2^201132000 is an apocalyptic number.

201132000 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 201132000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368982432).

201132000 is an abundant number, since it is smaller than the sum of its proper divisors (536832864).

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

201132000 is a wasteful number, since it uses less digits than its factorization.

201132000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 201132000 is about 14182.1013957735. The cubic root of 201132000 is about 585.9048019087.

Adding to 201132000 its reverse (231102), we get a palindrome (201363102).

The spelling of 201132000 in words is "two hundred one million, one hundred thirty-two thousand".