1142186976 has 144 divisors (see below), whose sum is σ = 3907612800. Its totient is φ = 309153024.

The previous prime is 1142186951. The next prime is 1142187017. The reversal of 1142186976 is 6796812411.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23395 + ... + 53213.

It is an arithmetic number, because the mean of its divisors is an integer number (27136200).

Almost surely, 2^1142186976 is an apocalyptic number.

1142186976 is a gapful number since it is divisible by the number (16) 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 1142186976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1953806400).

1142186976 is an abundant number, since it is smaller than the sum of its proper divisors (2765425824).

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

1142186976 is a wasteful number, since it uses less digits than its factorization.

1142186976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29861 (or 29850 counting only the distinct ones).

The product of its digits is 145152, while the sum is 45.

The square root of 1142186976 is about 33796.2568341525. The cubic root of 1142186976 is about 1045.3115150734.

The spelling of 1142186976 in words is "one billion, one hundred forty-two million, one hundred eighty-six thousand, nine hundred seventy-six".