1137061152 has 288 divisors, whose sum is σ = 3566384640. Its totient is φ = 355829760.

The previous prime is 1137061151. The next prime is 1137061153. The reversal of 1137061152 is 2511607311.

1137061152 is a `hidden beast` number, since 11 + 37 + 0 + 611 + 5 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (1137061151) and next prime (1137061153).

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 (27).

It is not an unprimeable number, because it can be changed into a prime (1137061151) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12775924 + ... + 12776012.

It is an arithmetic number, because the mean of its divisors is an integer number (12383280).

Almost surely, 2^1137061152 is an apocalyptic number.

1137061152 is a gapful number since it is divisible by the number (12) 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 1137061152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1783192320).

1137061152 is an abundant number, since it is smaller than the sum of its proper divisors (2429323488).

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

1137061152 is an equidigital number, since it uses as much as digits as its factorization.

1137061152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 27.

The square root of 1137061152 is about 33720.3373648604. The cubic root of 1137061152 is about 1043.7454789769.

Adding to 1137061152 its reverse (2511607311), we get a palindrome (3648668463).

The spelling of 1137061152 in words is "one billion, one hundred thirty-seven million, sixty-one thousand, one hundred fifty-two".