132525121600 has 189 divisors, whose sum is σ = 344880810237. Its totient is φ = 50115202560.

The previous prime is 132525121583. The next prime is 132525121601. The reversal of 132525121600 is 6121525231.

The square root of 132525121600 is 364040.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 47709043776 + 84816077824 = 218424^2 + 291232^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (132525121601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 276670161 + ... + 276670639.

Almost surely, 2^132525121600 is an apocalyptic number.

132525121600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

132525121600 is the 364040-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132525121600

132525121600 is an abundant number, since it is smaller than the sum of its proper divisors (212355688637).

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

132525121600 is an frugal number, since it uses more digits than its factorization.

132525121600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1018 (or 505 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 28.

Multiplying 132525121600 by its product of nonzero digits (3600), we get a square (477090437760000 = 21842400²).

Adding to 132525121600 its reverse (6121525231), we get a palindrome (138646646831).

The spelling of 132525121600 in words is "one hundred thirty-two billion, five hundred twenty-five million, one hundred twenty-one thousand, six hundred".