2132133200 has 60 divisors (see below), whose sum is σ = 5423787900. Its totient is φ = 802682880.

The previous prime is 2132133197. The next prime is 2132133233. The reversal of 2132133200 is 23312312.

It can be written as a sum of positive squares in 6 ways, for example, as 38887696 + 2093245504 = 6236^2 + 45752^2 .

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 149975 + ... + 163574.

It is an arithmetic number, because the mean of its divisors is an integer number (90396465).

Almost surely, 2^2132133200 is an apocalyptic number.

2132133200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2132133200 is an abundant number, since it is smaller than the sum of its proper divisors (3291654700).

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

2132133200 is a wasteful number, since it uses less digits than its factorization.

2132133200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313584 (or 313573 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

The square root of 2132133200 is about 46175.0278830452. The cubic root of 2132133200 is about 1287.0777350273.

Adding to 2132133200 its reverse (23312312), we get a palindrome (2155445512).

The spelling of 2132133200 in words is "two billion, one hundred thirty-two million, one hundred thirty-three thousand, two hundred".