1137405680 has 20 divisors (see below), whose sum is σ = 2644468392. Its totient is φ = 454962240.

The previous prime is 1137405679. The next prime is 1137405719. The reversal of 1137405680 is 865047311.

It is a tau number, because it is divible by the number of its divisors (20).

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 1137405680.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7108706 + ... + 7108865.

Almost surely, 2^1137405680 is an apocalyptic number.

1137405680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1137405680 is an abundant number, since it is smaller than the sum of its proper divisors (1507062712).

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

1137405680 is a wasteful number, since it uses less digits than its factorization.

1137405680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14217584 (or 14217578 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 35.

The square root of 1137405680 is about 33725.4455863818. The cubic root of 1137405680 is about 1043.8508861571.

The spelling of 1137405680 in words is "one billion, one hundred thirty-seven million, four hundred five thousand, six hundred eighty".