1182942144 has 280 divisors, whose sum is σ = 3841504128. Its totient is φ = 358318080.

The previous prime is 1182942143. The next prime is 1182942157. The reversal of 1182942144 is 4412492811.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 1182942099 and 1182942108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1182942143) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2731752 + ... + 2732184.

Almost surely, 2^1182942144 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 1182942144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1920752064).

1182942144 is an abundant number, since it is smaller than the sum of its proper divisors (2658561984).

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

1182942144 is a wasteful number, since it uses less digits than its factorization.

1182942144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 505 (or 486 counting only the distinct ones).

The product of its digits is 18432, while the sum is 36.

The square root of 1182942144 is about 34393.9259753812. The cubic root of 1182942144 is about 1057.5993327546.

The spelling of 1182942144 in words is "one billion, one hundred eighty-two million, nine hundred forty-two thousand, one hundred forty-four".