1137731205 has 64 divisors (see below), whose sum is σ = 2083027968. Its totient is φ = 525312000.

The previous prime is 1137731197. The next prime is 1137731227. The reversal of 1137731205 is 5021377311.

It is not a de Polignac number, because 1137731205 - 2³ = 1137731197 is a prime.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 1514580 + ... + 1515330.

It is an arithmetic number, because the mean of its divisors is an integer number (32547312).

Almost surely, 2^1137731205 is an apocalyptic number.

1137731205 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1137731205 is a deficient number, since it is larger than the sum of its proper divisors (945296763).

1137731205 is a wasteful number, since it uses less digits than its factorization.

1137731205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1246.

The product of its (nonzero) digits is 4410, while the sum is 30.

The square root of 1137731205 is about 33730.2713448914. The cubic root of 1137731205 is about 1043.9504598782.

The spelling of 1137731205 in words is "one billion, one hundred thirty-seven million, seven hundred thirty-one thousand, two hundred five".