1140355125 has 256 divisors, whose sum is σ = 2683699200. Its totient is φ = 465004800.

The previous prime is 1140355123. The next prime is 1140355147. The reversal of 1140355125 is 5215530411.

1140355125 = 340³ + 341³ + ... + 365³.

1140355125 is a `hidden beast` number, since 1 + 140 + 3 + 5 + 512 + 5 = 666.

It is not a de Polignac number, because 1140355125 - 2¹ = 1140355123 is a prime.

It is a super-2 number, since 2×1140355125² = 2600819622227531250, which contains 22 as substring.

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

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1140355123) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 14434836 + ... + 14434914.

It is an arithmetic number, because the mean of its divisors is an integer number (10483200).

Almost surely, 2^1140355125 is an apocalyptic number.

1140355125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1140355125 is an abundant number, since it is smaller than the sum of its proper divisors (1543344075).

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

1140355125 is a wasteful number, since it uses less digits than its factorization.

1140355125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 27.

The square root of 1140355125 is about 33769.1445701546. The cubic root of 1140355125 is about 1044.7523890035.

Adding to 1140355125 its reverse (5215530411), we get a palindrome (6355885536).

The spelling of 1140355125 in words is "one billion, one hundred forty million, three hundred fifty-five thousand, one hundred twenty-five".