1137137664 has 192 divisors, whose sum is σ = 3412281600. Its totient is φ = 334135296.

The previous prime is 1137137587. The next prime is 1137137671. The reversal of 1137137664 is 4667317311.

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 (39).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1836747 + ... + 1837365.

It is an arithmetic number, because the mean of its divisors is an integer number (17772300).

Almost surely, 2^1137137664 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 1137137664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1706140800).

1137137664 is an abundant number, since it is smaller than the sum of its proper divisors (2275143936).

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

1137137664 is a wasteful number, since it uses less digits than its factorization.

1137137664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 680 (or 660 counting only the distinct ones).

The product of its digits is 63504, while the sum is 39.

The square root of 1137137664 is about 33721.4718539983. The cubic root of 1137137664 is about 1043.7688894044.

The spelling of 1137137664 in words is "one billion, one hundred thirty-seven million, one hundred thirty-seven thousand, six hundred sixty-four".