1359820140 has 192 divisors, whose sum is σ = 4630348800. Its totient is φ = 292088832.

The previous prime is 1359820103. The next prime is 1359820151. The reversal of 1359820140 is 410289531.

It is a super-2 number, since 2×1359820140² = 3698221626299239200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2063131 + ... + 2063789.

It is an arithmetic number, because the mean of its divisors is an integer number (24116400).

Almost surely, 2^1359820140 is an apocalyptic number.

1359820140 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 1359820140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2315174400).

1359820140 is an abundant number, since it is smaller than the sum of its proper divisors (3270528660).

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

1359820140 is a wasteful number, since it uses less digits than its factorization.

1359820140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 729 (or 693 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The square root of 1359820140 is about 36875.7391790321. The cubic root of 1359820140 is about 1107.8828078773.

The spelling of 1359820140 in words is "one billion, three hundred fifty-nine million, eight hundred twenty thousand, one hundred forty".