1337920000 has 200 divisors, whose sum is σ = 3461107716. Its totient is φ = 516096000.

The previous prime is 1337919997. The next prime is 1337920013. The reversal of 1337920000 is 297331.

It can be written as a sum of positive squares in 10 ways, for example, as 186267904 + 1151652096 = 13648^2 + 33936^2 .

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 11839944 + ... + 11840056.

Almost surely, 2^1337920000 is an apocalyptic number.

1337920000 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 1337920000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1730553858).

1337920000 is an abundant number, since it is smaller than the sum of its proper divisors (2123187716).

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

1337920000 is an frugal number, since it uses more digits than its factorization.

1337920000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 1134, while the sum is 25.

The square root of 1337920000 is about 36577.5887668939. The cubic root of 1337920000 is about 1101.9030418547.

The spelling of 1337920000 in words is "one billion, three hundred thirty-seven million, nine hundred twenty thousand".