1131558120 has 384 divisors, whose sum is σ = 4742035200. Its totient is φ = 234938880.

The previous prime is 1131558083. The next prime is 1131558121. The reversal of 1131558120 is 218551311.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1131558121) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 914142 + ... + 915378.

It is an arithmetic number, because the mean of its divisors is an integer number (12349050).

Almost surely, 2^1131558120 is an apocalyptic number.

1131558120 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 1131558120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2371017600).

1131558120 is an abundant number, since it is smaller than the sum of its proper divisors (3610477080).

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

1131558120 is a wasteful number, since it uses less digits than its factorization.

1131558120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1286 (or 1265 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 27.

The square root of 1131558120 is about 33638.6402816761. The cubic root of 1131558120 is about 1042.0589511583.

It can be divided in two parts, 1131558 and 120, that multiplied together give a triangular number (135786960 = T₁₆₄₇₉).

The spelling of 1131558120 in words is "one billion, one hundred thirty-one million, five hundred fifty-eight thousand, one hundred twenty".