1125154034400 has 144 divisors (see below), whose sum is σ = 3995319783168. Its totient is φ = 272764608000.

The previous prime is 1125154034369. The next prime is 1125154034401. The reversal of 1125154034400 is 44304515211.

It is a super-3 number, since 3×1125154034400³ (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1125154034401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21283336 + ... + 21336135.

It is an arithmetic number, because the mean of its divisors is an integer number (27745276272).

Almost surely, 2^{1125154034400} is an apocalyptic number.

1125154034400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1125154034400 is an abundant number, since it is smaller than the sum of its proper divisors (2870165748768).

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

1125154034400 is a wasteful number, since it uses less digits than its factorization.

1125154034400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42619505 (or 42619492 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

Adding to 1125154034400 its reverse (44304515211), we get a palindrome (1169458549611).

The spelling of 1125154034400 in words is "one trillion, one hundred twenty-five billion, one hundred fifty-four million, thirty-four thousand, four hundred".