202132114400 has 72 divisors (see below), whose sum is σ = 514909637424. Its totient is φ = 77337497600.

The previous prime is 202132114399. The next prime is 202132114427. The reversal of 202132114400 is 4411231202.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 5474321 + ... + 5511120.

It is an arithmetic number, because the mean of its divisors is an integer number (7151522742).

Almost surely, 2^202132114400 is an apocalyptic number.

202132114400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202132114400 is an abundant number, since it is smaller than the sum of its proper divisors (312777523024).

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

202132114400 is a wasteful number, since it uses less digits than its factorization.

202132114400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10985484 (or 10985471 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 202132114400 its reverse (4411231202), we get a palindrome (206543345602).

The spelling of 202132114400 in words is "two hundred two billion, one hundred thirty-two million, one hundred fourteen thousand, four hundred".