1012137984 has 304 divisors, whose sum is σ = 3523208640. Its totient is φ = 283115520.

The previous prime is 1012137943. The next prime is 1012137989. The reversal of 1012137984 is 4897312101.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1012137989) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 77856762 + ... + 77856774.

Almost surely, 2^1012137984 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 1012137984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1761604320).

1012137984 is an abundant number, since it is smaller than the sum of its proper divisors (2511070656).

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

1012137984 is an frugal number, since it uses more digits than its factorization.

1012137984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 1012137984 is about 31814.1161121915. The cubic root of 1012137984 is about 1004.0297340971.

The spelling of 1012137984 in words is "one billion, twelve million, one hundred thirty-seven thousand, nine hundred eighty-four".