1337006160 has 180 divisors, whose sum is σ = 5223329748. Its totient is φ = 305593344.

The previous prime is 1337006147. The next prime is 1337006171. The reversal of 1337006160 is 616007331.

1337006160 is a `hidden beast` number, since 13 + 37 + 0 + 0 + 616 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 173923344 + 1163082816 = 13188^2 + 34104^2 .

It is a tau number, because it is divible by the number of its divisors (180).

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 35 ways as a sum of consecutive naturals, for example, 16332 + ... + 54228.

Almost surely, 2^1337006160 is an apocalyptic number.

1337006160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1337006160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2611664874).

1337006160 is an abundant number, since it is smaller than the sum of its proper divisors (3886323588).

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

1337006160 is a wasteful number, since it uses less digits than its factorization.

1337006160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37930 (or 37914 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 1337006160 is about 36565.0948309997. The cubic root of 1337006160 is about 1101.6521069645.

The spelling of 1337006160 in words is "one billion, three hundred thirty-seven million, six thousand, one hundred sixty".