1337145480 has 384 divisors, whose sum is σ = 5058443520. Its totient is φ = 303114240.

The previous prime is 1337145461. The next prime is 1337145487. The reversal of 1337145480 is 845417331.

It is a happy number.

1337145480 is a `hidden beast` number, since 1 + 3 + 37 + 145 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1337145487) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4827102 + ... + 4827378.

It is an arithmetic number, because the mean of its divisors is an integer number (13173030).

Almost surely, 2^1337145480 is an apocalyptic number.

1337145480 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 1337145480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2529221760).

1337145480 is an abundant number, since it is smaller than the sum of its proper divisors (3721298040).

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

1337145480 is a wasteful number, since it uses less digits than its factorization.

1337145480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 381 (or 374 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 1337145480 is about 36566.9998769382. Note that the first 3 decimals coincide. The cubic root of 1337145480 is about 1101.6903707724.

The spelling of 1337145480 in words is "one billion, three hundred thirty-seven million, one hundred forty-five thousand, four hundred eighty".