1137193344 has 224 divisors, whose sum is σ = 3884172240. Its totient is φ = 324725760.

The previous prime is 1137193331. The next prime is 1137193349. The reversal of 1137193344 is 4433917311.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

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

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 1137193299 and 1137193308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1137193349) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 652314 + ... + 654054.

Almost surely, 2^1137193344 is an apocalyptic number.

1137193344 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 1137193344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1942086120).

1137193344 is an abundant number, since it is smaller than the sum of its proper divisors (2746978896).

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

1137193344 is an frugal number, since it uses more digits than its factorization.

1137193344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1780 (or 1753 counting only the distinct ones).

The product of its digits is 27216, while the sum is 36.

The square root of 1137193344 is about 33722.2974306319. The cubic root of 1137193344 is about 1043.7859251908.

It can be divided in two parts, 1137 and 193344, that added together give a 4-th power (194481 = 21⁴).

The spelling of 1137193344 in words is "one billion, one hundred thirty-seven million, one hundred ninety-three thousand, three hundred forty-four".