1021146144 has 48 divisors (see below), whose sum is σ = 2772947520. Its totient is φ = 328643840.

The previous prime is 1021146131. The next prime is 1021146149. The reversal of 1021146144 is 4416411201.

1021146144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (1021146149) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 180612 + ... + 186179.

It is an arithmetic number, because the mean of its divisors is an integer number (57769740).

Almost surely, 2^1021146144 is an apocalyptic number.

It is an amenable number.

1021146144 is an abundant number, since it is smaller than the sum of its proper divisors (1751801376).

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

1021146144 is a wasteful number, since it uses less digits than its factorization.

1021146144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 366833 (or 366825 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 1021146144 is about 31955.3773878513. The cubic root of 1021146144 is about 1006.9996058703. Note that the first 3 decimals are identical.

Adding to 1021146144 its reverse (4416411201), we get a palindrome (5437557345).

The spelling of 1021146144 in words is "one billion, twenty-one million, one hundred forty-six thousand, one hundred forty-four".