1361145072 has 80 divisors (see below), whose sum is σ = 4022996480. Its totient is φ = 388475136.

The previous prime is 1361145059. The next prime is 1361145077. The reversal of 1361145072 is 2705411631.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1361145077) 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 15 ways as a sum of consecutive naturals, for example, 436254 + ... + 439362.

It is an arithmetic number, because the mean of its divisors is an integer number (50287456).

Almost surely, 2^1361145072 is an apocalyptic number.

1361145072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1361145072 is an abundant number, since it is smaller than the sum of its proper divisors (2661851408).

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

1361145072 is a wasteful number, since it uses less digits than its factorization.

1361145072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4430 (or 4424 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 1361145072 is about 36893.6996247327. The cubic root of 1361145072 is about 1108.2425105720.

The spelling of 1361145072 in words is "one billion, three hundred sixty-one million, one hundred forty-five thousand, seventy-two".