1132521640000 has 315 divisors, whose sum is σ = 2992757547747. Its totient is φ = 424998912000.

The previous prime is 1132521639973. The next prime is 1132521640021. The reversal of 1132521640000 is 461252311.

It is a happy number.

The square root of 1132521640000 is 1064200.

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

It can be written as a sum of positive squares in 22 ways, for example, as 669425057856 + 463096582144 = 818184^2 + 680512^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a Duffinian number.

It is an unprimeable number.

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 44 ways as a sum of consecutive naturals, for example, 3618279844 + ... + 3618280156.

Almost surely, 2^{1132521640000} is an apocalyptic number.

1132521640000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1132521640000 is the 1064200-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1132521640000

1132521640000 is an abundant number, since it is smaller than the sum of its proper divisors (1860235907747).

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

1132521640000 is an frugal number, since it uses more digits than its factorization.

1132521640000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 692 (or 337 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

Multiplying 1132521640000 by its sum of digits (25), we get a square (28313041000000 = 5321000²).

1132521640000 divided by its sum of digits (25) gives a square (45300865600 = 212840²).

Adding to 1132521640000 its reverse (461252311), we get a palindrome (1132982892311).

The spelling of 1132521640000 in words is "one trillion, one hundred thirty-two billion, five hundred twenty-one million, six hundred forty thousand".