1337147680 has 192 divisors, whose sum is σ = 3570739200. Its totient is φ = 469048320.

The previous prime is 1337147677. The next prime is 1337147681. The reversal of 1337147680 is 867417331.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (1337147681) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 8203279 + ... + 8203441.

It is an arithmetic number, because the mean of its divisors is an integer number (18597600).

Almost surely, 2^1337147680 is an apocalyptic number.

1337147680 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 1337147680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1785369600).

1337147680 is an abundant number, since it is smaller than the sum of its proper divisors (2233591520).

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

1337147680 is a wasteful number, since it uses less digits than its factorization.

1337147680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327 (or 319 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 40.

The square root of 1337147680 is about 36567.0299586937. The cubic root of 1337147680 is about 1101.6909749743.

The spelling of 1337147680 in words is "one billion, three hundred thirty-seven million, one hundred forty-seven thousand, six hundred eighty".