147781042929 has 27 divisors (see below), whose sum is σ = 231168160353. Its totient is φ = 90932954112.

The previous prime is 147781042909. The next prime is 147781042949. The reversal of 147781042929 is 929240187741.

The square root of 147781042929 is 384423.

It is a perfect power (a square), and thus also a powerful number.

147781042929 is a `hidden beast` number, since 1 + 477 + 81 + 0 + 4 + 2 + 92 + 9 = 666.

147781042929 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (147781042909) and next prime (147781042949).

It can be written as a sum of positive squares in 4 ways, for example, as 36931999329 + 110849043600 = 192177^2 + 332940^2 .

It is not a de Polignac number, because 147781042929 - 2⁵ = 147781042897 is a prime.

It is not an unprimeable number, because it can be changed into a prime (147781042909) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 14987569 + ... + 14997425.

Almost surely, 2^147781042929 is an apocalyptic number.

147781042929 is the 384423-rd square number.

147781042929 is the 192212-nd centered octagonal number.

It is an amenable number.

147781042929 is a deficient number, since it is larger than the sum of its proper divisors (83387117424).

147781042929 is an frugal number, since it uses more digits than its factorization.

147781042929 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19746 (or 9873 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 54.

The spelling of 147781042929 in words is "one hundred forty-seven billion, seven hundred eighty-one million, forty-two thousand, nine hundred twenty-nine".