1125136509024 has 96 divisors (see below), whose sum is σ = 3333084733440. Its totient is φ = 329193536000.

The previous prime is 1125136508999. The next prime is 1125136509047. The reversal of 1125136509024 is 4209056315211.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18339552 + ... + 18400799.

It is an arithmetic number, because the mean of its divisors is an integer number (34719632640).

Almost surely, 2^{1125136509024} is an apocalyptic number.

It is an amenable number.

1125136509024 is an abundant number, since it is smaller than the sum of its proper divisors (2207948224416).

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

1125136509024 is a wasteful number, since it uses less digits than its factorization.

1125136509024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36740404 (or 36740396 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 39.

The spelling of 1125136509024 in words is "one trillion, one hundred twenty-five billion, one hundred thirty-six million, five hundred nine thousand, twenty-four".