1156124160 has 360 divisors, whose sum is σ = 4256211960. Its totient is φ = 289972224.

The previous prime is 1156124119. The next prime is 1156124171. The reversal of 1156124160 is 614216511.

1156124160 is a `hidden beast` number, since 1 + 1 + 5 + 612 + 41 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 8317371 + ... + 8317509.

It is an arithmetic number, because the mean of its divisors is an integer number (11822811).

Almost surely, 2^1156124160 is an apocalyptic number.

1156124160 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 1156124160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2128105980).

1156124160 is an abundant number, since it is smaller than the sum of its proper divisors (3100087800).

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

1156124160 is a wasteful number, since it uses less digits than its factorization.

1156124160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 1156124160 is about 34001.8258333284. The cubic root of 1156124160 is about 1049.5460350502.

It can be divided in two parts, 11561 and 24160, that added together give a square (35721 = 189²).

The spelling of 1156124160 in words is "one billion, one hundred fifty-six million, one hundred twenty-four thousand, one hundred sixty".