1125135900000 has 1152 divisors, whose sum is σ = 4771944576000. Its totient is φ = 252564480000.

The previous prime is 1125135899983. The next prime is 1125135900029. The reversal of 1125135900000 is 95315211.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1115099496 + ... + 1115100504.

It is an arithmetic number, because the mean of its divisors is an integer number (4142313000).

Almost surely, 2^{1125135900000} is an apocalyptic number.

1125135900000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1125135900000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2385972288000).

1125135900000 is an abundant number, since it is smaller than the sum of its proper divisors (3646808676000).

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

1125135900000 is an equidigital number, since it uses as much as digits as its factorization.

1125135900000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1119 (or 1085 counting only the distinct ones).

The product of its (nonzero) digits is 1350, while the sum is 27.

The spelling of 1125135900000 in words is "one trillion, one hundred twenty-five billion, one hundred thirty-five million, nine hundred thousand".