1373153680 has 120 divisors (see below), whose sum is σ = 3371107896. Its totient is φ = 519966720.

The previous prime is 1373153671. The next prime is 1373153729. The reversal of 1373153680 is 863513731.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 132987024 + 1240166656 = 11532^2 + 35216^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4074472 + ... + 4074808.

Almost surely, 2^1373153680 is an apocalyptic number.

1373153680 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 1373153680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1685553948).

1373153680 is an abundant number, since it is smaller than the sum of its proper divisors (1997954216).

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

1373153680 is a wasteful number, since it uses less digits than its factorization.

1373153680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 465 (or 428 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 37.

The square root of 1373153680 is about 37056.0882986858. The cubic root of 1373153680 is about 1111.4921036860.

The spelling of 1373153680 in words is "one billion, three hundred seventy-three million, one hundred fifty-three thousand, six hundred eighty".