1137072384 has 288 divisors, whose sum is σ = 3908782080. Its totient is φ = 319334400.

The previous prime is 1137072329. The next prime is 1137072427. The reversal of 1137072384 is 4832707311.

It is a tau number, because it is divible by the number of its divisors (288).

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

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 31 ways as a sum of consecutive naturals, for example, 3435099 + ... + 3435429.

It is an arithmetic number, because the mean of its divisors is an integer number (13572160).

Almost surely, 2^1137072384 is an apocalyptic number.

1137072384 is a gapful number since it is divisible by the number (14) 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 1137072384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1954391040).

1137072384 is an abundant number, since it is smaller than the sum of its proper divisors (2771709696).

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

1137072384 is an equidigital number, since it uses as much as digits as its factorization.

1137072384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 434 (or 414 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 1137072384 is about 33720.5039108255. The cubic root of 1137072384 is about 1043.7489157052.

Adding to 1137072384 its reverse (4832707311), we get a palindrome (5969779695).

The spelling of 1137072384 in words is "one billion, one hundred thirty-seven million, seventy-two thousand, three hundred eighty-four".