1125952920 has 256 divisors, whose sum is σ = 4060224000. Its totient is φ = 276576768.

The previous prime is 1125952913. The next prime is 1125952921. The reversal of 1125952920 is 292595211.

It is a happy number.

1125952920 is a `hidden beast` number, since 1 + 125 + 9 + 529 + 2 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1125952921) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 758499 + ... + 759981.

It is an arithmetic number, because the mean of its divisors is an integer number (15860250).

Almost surely, 2^1125952920 is an apocalyptic number.

1125952920 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 1125952920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2030112000).

1125952920 is an abundant number, since it is smaller than the sum of its proper divisors (2934271080).

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

1125952920 is a wasteful number, since it uses less digits than its factorization.

1125952920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1559 (or 1549 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 36.

The square root of 1125952920 is about 33555.2219483049. The cubic root of 1125952920 is about 1040.3354810201.

The spelling of 1125952920 in words is "one billion, one hundred twenty-five million, nine hundred fifty-two thousand, nine hundred twenty".