1142881152 has 128 divisors (see below), whose sum is σ = 3489020160. Its totient is φ = 324698112.

The previous prime is 1142881147. The next prime is 1142881237. The reversal of 1142881152 is 2511882411.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 517683 + ... + 519885.

It is an arithmetic number, because the mean of its divisors is an integer number (27257970).

Almost surely, 2^1142881152 is an apocalyptic number.

1142881152 is a gapful number since it is divisible by the number (12) 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 1142881152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1744510080).

1142881152 is an abundant number, since it is smaller than the sum of its proper divisors (2346139008).

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

1142881152 is a wasteful number, since it uses less digits than its factorization.

1142881152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2420 (or 2408 counting only the distinct ones).

The product of its digits is 5120, while the sum is 33.

The square root of 1142881152 is about 33806.5252872874. The cubic root of 1142881152 is about 1045.5232384976.

It can be divided in two parts, 114288 and 1152, that added together give a triangular number (115440 = T₄₈₀).

The spelling of 1142881152 in words is "one billion, one hundred forty-two million, eight hundred eighty-one thousand, one hundred fifty-two".