1337142720 has 168 divisors, whose sum is σ = 4439722896. Its totient is φ = 340938752.

The previous prime is 1337142707. The next prime is 1337142721. The reversal of 1337142720 is 272417331.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1337142721) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 506524 + ... + 509156.

It is an arithmetic number, because the mean of its divisors is an integer number (26426922).

Almost surely, 2^1337142720 is an apocalyptic number.

1337142720 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 1337142720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2219861448).

1337142720 is an abundant number, since it is smaller than the sum of its proper divisors (3102580176).

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

1337142720 is a wasteful number, since it uses less digits than its factorization.

1337142720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2699 (or 2666 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 30.

The square root of 1337142720 is about 36566.9621379737. The cubic root of 1337142720 is about 1101.6896127728.

The spelling of 1337142720 in words is "one billion, three hundred thirty-seven million, one hundred forty-two thousand, seven hundred twenty".