1353795147 has 36 divisors (see below), whose sum is σ = 2054652840. Its totient is φ = 880989696.

The previous prime is 1353795089. The next prime is 1353795199. The reversal of 1353795147 is 7415973531.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

1353795147 is a `hidden beast` number, since 13 + 53 + 79 + 514 + 7 = 666.

It is not a de Polignac number, because 1353795147 - 2⁸ = 1353794891 is a prime.

It is a super-2 number, since 2×1353795147² = 3665522600081503218, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1353795647) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 13956603 + ... + 13956699.

It is an arithmetic number, because the mean of its divisors is an integer number (57073690).

Almost surely, 2^1353795147 is an apocalyptic number.

1353795147 is a deficient number, since it is larger than the sum of its proper divisors (700857693).

1353795147 is an frugal number, since it uses more digits than its factorization.

1353795147 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349 (or 173 counting only the distinct ones).

The product of its digits is 396900, while the sum is 45.

The square root of 1353795147 is about 36793.9553051857. The cubic root of 1353795147 is about 1106.2441429164.

The spelling of 1353795147 in words is "one billion, three hundred fifty-three million, seven hundred ninety-five thousand, one hundred forty-seven".