1380165120 has 240 divisors, whose sum is σ = 4912118640. Its totient is φ = 357875712.

The previous prime is 1380165119. The next prime is 1380165131. The reversal of 1380165120 is 215610831.

1380165120 is a `hidden beast` number, since 1 + 3 + 8 + 0 + 1 + 651 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×1380165120² = 3809711516929228800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 851671 + ... + 853289.

It is an arithmetic number, because the mean of its divisors is an integer number (20467161).

Almost surely, 2^1380165120 is an apocalyptic number.

1380165120 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 1380165120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2456059320).

1380165120 is an abundant number, since it is smaller than the sum of its proper divisors (3531953520).

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

1380165120 is a wasteful number, since it uses less digits than its factorization.

1380165120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1685 (or 1666 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 1380165120 is about 37150.5736160291. The cubic root of 1380165120 is about 1113.3806841188.

Adding to 1380165120 its reverse (215610831), we get a palindrome (1595775951).

The spelling of 1380165120 in words is "one billion, three hundred eighty million, one hundred sixty-five thousand, one hundred twenty".