1337740096 has 112 divisors (see below), whose sum is σ = 3323295360. Its totient is φ = 519045120.

The previous prime is 1337740093. The next prime is 1337740109. The reversal of 1337740096 is 6900477331.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1337740091) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1739200 + ... + 1739968.

It is an arithmetic number, because the mean of its divisors is an integer number (29672280).

Almost surely, 2^1337740096 is an apocalyptic number.

1337740096 is a gapful number since it is divisible by the number (16) 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 1337740096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1661647680).

1337740096 is an abundant number, since it is smaller than the sum of its proper divisors (1985555264).

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

1337740096 is a wasteful number, since it uses less digits than its factorization.

1337740096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1152 (or 1142 counting only the distinct ones).

The product of its (nonzero) digits is 95256, while the sum is 40.

The square root of 1337740096 is about 36575.1294734550. The cubic root of 1337740096 is about 1101.8536503488.

The spelling of 1337740096 in words is "one billion, three hundred thirty-seven million, seven hundred forty thousand, ninety-six".