1365162120 has 256 divisors, whose sum is σ = 5225472000. Its totient is φ = 310549248.

The previous prime is 1365162109. The next prime is 1365162133. The reversal of 1365162120 is 212615631.

1365162120 is a `hidden beast` number, since 1 + 3 + 651 + 6 + 2 + 1 + 2 + 0 = 666.

It is a super-2 number, since 2×1365162120² = 3727335227765788800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 2713789 + ... + 2714291.

It is an arithmetic number, because the mean of its divisors is an integer number (20412000).

Almost surely, 2^1365162120 is an apocalyptic number.

1365162120 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 1365162120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2612736000).

1365162120 is an abundant number, since it is smaller than the sum of its proper divisors (3860309880).

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

1365162120 is a wasteful number, since it uses less digits than its factorization.

1365162120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 889 (or 879 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 1365162120 is about 36948.1003571226. The cubic root of 1365162120 is about 1109.3316648760.

Adding to 1365162120 its reverse (212615631), we get a palindrome (1577777751).

The spelling of 1365162120 in words is "one billion, three hundred sixty-five million, one hundred sixty-two thousand, one hundred twenty".