1125356544 has 352 divisors, whose sum is σ = 3741588480. Its totient is φ = 331776000.

The previous prime is 1125356537. The next prime is 1125356563. The reversal of 1125356544 is 4456535211.

1125356544 is a `hidden beast` number, since 1 + 1 + 2 + 53 + 565 + 44 = 666.

It is a super-2 number, since 2×1125356544² = 2532854702247247872, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

Its product of digits (72000) is a multiple of the sum of its prime divisors (150).

It is a junction number, because it is equal to n+sod(n) for n = 1125356499 and 1125356508.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11142094 + ... + 11142194.

Almost surely, 2^1125356544 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1125356544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1870794240).

1125356544 is an abundant number, since it is smaller than the sum of its proper divisors (2616231936).

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

1125356544 is a wasteful number, since it uses less digits than its factorization.

1125356544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 150 counting only the distinct ones).

The product of its digits is 72000, while the sum is 36.

The square root of 1125356544 is about 33546.3342855818. The cubic root of 1125356544 is about 1040.1517727217.

The spelling of 1125356544 in words is "one billion, one hundred twenty-five million, three hundred fifty-six thousand, five hundred forty-four".