1337889120 has 192 divisors, whose sum is σ = 4500873216. Its totient is φ = 332881920.

The previous prime is 1337889109. The next prime is 1337889121. The reversal of 1337889120 is 219887331.

1337889120 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1337889121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1035675 + ... + 1036965.

It is an arithmetic number, because the mean of its divisors is an integer number (23442048).

Almost surely, 2^1337889120 is an apocalyptic number.

1337889120 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 1337889120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2250436608).

1337889120 is an abundant number, since it is smaller than the sum of its proper divisors (3162984096).

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

1337889120 is a wasteful number, since it uses less digits than its factorization.

1337889120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1453 (or 1445 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 42.

The square root of 1337889120 is about 36577.1666480606. The cubic root of 1337889120 is about 1101.8945642607.

The spelling of 1337889120 in words is "one billion, three hundred thirty-seven million, eight hundred eighty-nine thousand, one hundred twenty".