1351365120 has 800 divisors, whose sum is σ = 5941584000. Its totient is φ = 292626432.

The previous prime is 1351365091. The next prime is 1351365131. The reversal of 1351365120 is 215631531.

1351365120 is a `hidden beast` number, since 1 + 3 + 5 + 1 + 3 + 651 + 2 + 0 = 666.

It is a super-2 number, since 2×1351365120² = 3652375375105228800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 71124471 + ... + 71124489.

It is an arithmetic number, because the mean of its divisors is an integer number (7426980).

Almost surely, 2^1351365120 is an apocalyptic number.

1351365120 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 1351365120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2970792000).

1351365120 is an abundant number, since it is smaller than the sum of its proper divisors (4590218880).

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

1351365120 is an frugal number, since it uses more digits than its factorization.

1351365120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The square root of 1351365120 is about 36760.9183780819. The cubic root of 1351365120 is about 1105.5818533606.

Adding to 1351365120 its reverse (215631531), we get a palindrome (1566996651).

The spelling of 1351365120 in words is "one billion, three hundred fifty-one million, three hundred sixty-five thousand, one hundred twenty".