147456507 has 16 divisors (see below), whose sum is σ = 220280832. Its totient is φ = 86951520.

The previous prime is 147456499. The next prime is 147456557. The reversal of 147456507 is 705654741.

It is not a de Polignac number, because 147456507 - 2³ = 147456499 is a prime.

It is an alternating number because its digits alternate between odd and even.

It is not an unprimeable number, because it can be changed into a prime (147456557) 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, 59163 + ... + 61604.

It is an arithmetic number, because the mean of its divisors is an integer number (13767552).

Almost surely, 2^147456507 is an apocalyptic number.

147456507 is a deficient number, since it is larger than the sum of its proper divisors (72824325).

147456507 is a wasteful number, since it uses less digits than its factorization.

147456507 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120818.

The product of its (nonzero) digits is 117600, while the sum is 39.

The square root of 147456507 is about 12143.1670910022. The cubic root of 147456507 is about 528.3089653191.

It can be divided in two parts, 147 and 456507, that added together give a palindrome (456654).

The spelling of 147456507 in words is "one hundred forty-seven million, four hundred fifty-six thousand, five hundred seven".