1456415145 has 24 divisors (see below), whose sum is σ = 2534295816. Its totient is φ = 773726208.

The previous prime is 1456415141. The next prime is 1456415153. The reversal of 1456415145 is 5415146541.

1456415145 is a `hidden beast` number, since 1 + 4 + 5 + 641 + 5 + 1 + 4 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 358685721 + 1097729424 = 18939^2 + 33132^2 .

It is not a de Polignac number, because 1456415145 - 2² = 1456415141 is a prime.

It is a super-2 number, since 2×1456415145² = 4242290149170742050, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1456415141) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 51402 + ... + 74531.

It is an arithmetic number, because the mean of its divisors is an integer number (105595659).

Almost surely, 2^1456415145 is an apocalyptic number.

1456415145 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1456415145 is a deficient number, since it is larger than the sum of its proper divisors (1077880671).

1456415145 is a wasteful number, since it uses less digits than its factorization.

1456415145 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126201 (or 126198 counting only the distinct ones).

The product of its digits is 48000, while the sum is 36.

The square root of 1456415145 is about 38163.0075465758. The cubic root of 1456415145 is about 1133.5179333578.

The spelling of 1456415145 in words is "one billion, four hundred fifty-six million, four hundred fifteen thousand, one hundred forty-five".