1137147264 has 192 divisors, whose sum is σ = 3758414400. Its totient is φ = 326384640.

The previous prime is 1137147241. The next prime is 1137147269. The reversal of 1137147264 is 4627417311.

1137147264 is a `hidden beast` number, since 113 + 71 + 472 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1137147269) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 238407 + ... + 243129.

It is an arithmetic number, because the mean of its divisors is an integer number (19575075).

Almost surely, 2^1137147264 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 1137147264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1879207200).

1137147264 is an abundant number, since it is smaller than the sum of its proper divisors (2621267136).

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

1137147264 is a wasteful number, since it uses less digits than its factorization.

1137147264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4773 (or 4758 counting only the distinct ones).

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

The square root of 1137147264 is about 33721.6141962392. The cubic root of 1137147264 is about 1043.7718266486.

The spelling of 1137147264 in words is "one billion, one hundred thirty-seven million, one hundred forty-seven thousand, two hundred sixty-four".