1137330720 has 240 divisors, whose sum is σ = 4051289088. Its totient is φ = 300464640.

The previous prime is 1137330683. The next prime is 1137330721. The reversal of 1137330720 is 270337311.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1137330721) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 1645575 + ... + 1646265.

Almost surely, 2^1137330720 is an apocalyptic number.

1137330720 is a gapful number since it is divisible by the number (10) 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 1137330720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2025644544).

1137330720 is an abundant number, since it is smaller than the sum of its proper divisors (2913958368).

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

1137330720 is a wasteful number, since it uses less digits than its factorization.

1137330720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 845 (or 828 counting only the distinct ones).

The product of its (nonzero) digits is 2646, while the sum is 27.

The square root of 1137330720 is about 33724.3342410195. The cubic root of 1137330720 is about 1043.8279542097.

The spelling of 1137330720 in words is "one billion, one hundred thirty-seven million, three hundred thirty thousand, seven hundred twenty".