1142525832100 has 81 divisors (see below), whose sum is σ = 2509540688361. Its totient is φ = 451499136000.

The previous prime is 1142525832029. The next prime is 1142525832139. The reversal of 1142525832100 is 12385252411.

The square root of 1142525832100 is 1068890.

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

It can be written as a sum of positive squares in 13 ways, for example, as 941470446436 + 201055385664 = 970294^2 + 448392^2 .

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 26 ways as a sum of consecutive naturals, for example, 951311500 + ... + 951312700.

Almost surely, 2^{1142525832100} is an apocalyptic number.

1142525832100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1142525832100 is the 1068890-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1142525832100

1142525832100 is an abundant number, since it is smaller than the sum of its proper divisors (1367014856261).

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

1142525832100 is an frugal number, since it uses more digits than its factorization.

1142525832100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2594 (or 1297 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 34.

The spelling of 1142525832100 in words is "one trillion, one hundred forty-two billion, five hundred twenty-five million, eight hundred thirty-two thousand, one hundred".