1337308896 has 192 divisors, whose sum is σ = 4418136576. Its totient is φ = 344064000.

The previous prime is 1337308883. The next prime is 1337308943. The reversal of 1337308896 is 6988037331.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 834496 + ... + 836096.

It is an arithmetic number, because the mean of its divisors is an integer number (23011128).

Almost surely, 2^1337308896 is an apocalyptic number.

1337308896 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 1337308896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2209068288).

1337308896 is an abundant number, since it is smaller than the sum of its proper divisors (3080827680).

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

1337308896 is a wasteful number, since it uses less digits than its factorization.

1337308896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1745 (or 1737 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 48.

The square root of 1337308896 is about 36569.2342823855. The cubic root of 1337308896 is about 1101.7352490854.

The spelling of 1337308896 in words is "one billion, three hundred thirty-seven million, three hundred eight thousand, eight hundred ninety-six".