1137266064 has 240 divisors, whose sum is σ = 3625839360. Its totient is φ = 329736960.

The previous prime is 1137266041. The next prime is 1137266069. The reversal of 1137266064 is 4606627311.

It is a happy number.

1137266064 is a `hidden beast` number, since 11 + 37 + 2 + 6 + 606 + 4 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (1137266069) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4018467 + ... + 4018749.

It is an arithmetic number, because the mean of its divisors is an integer number (15107664).

Almost surely, 2^1137266064 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 1137266064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1812919680).

1137266064 is an abundant number, since it is smaller than the sum of its proper divisors (2488573296).

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

1137266064 is a wasteful number, since it uses less digits than its factorization.

1137266064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 410 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 1137266064 is about 33723.3756317484. The cubic root of 1137266064 is about 1043.8081736780.

The spelling of 1137266064 in words is "one billion, one hundred thirty-seven million, two hundred sixty-six thousand, sixty-four".