142904412729 has 81 divisors (see below), whose sum is σ = 232750504623. Its totient is φ = 87696215568.

The previous prime is 142904412727. The next prime is 142904412731. The reversal of 142904412729 is 927214409241.

The square root of 142904412729 is 378027.

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

142904412729 is a `hidden beast` number, since 142 + 90 + 4 + 412 + 7 + 2 + 9 = 666.

It is an interprime number because it is at equal distance from previous prime (142904412727) and next prime (142904412731).

It can be written as a sum of positive squares in only one way, i.e., 21139706025 + 121764706704 = 145395^2 + 348948^2 .

It is a tau number, because it is divible by the number of its divisors (81).

It is not a de Polignac number, because 142904412729 - 2¹ = 142904412727 is a prime.

It is not an unprimeable number, because it can be changed into a prime (142904412727) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 398062252 + ... + 398062610.

Almost surely, 2^142904412729 is an apocalyptic number.

142904412729 is the 378027-th square number.

142904412729 is the 189014-th centered octagonal number.

It is an amenable number.

142904412729 is a deficient number, since it is larger than the sum of its proper divisors (89846091894).

142904412729 is an frugal number, since it uses more digits than its factorization.

142904412729 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 768 (or 375 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 142904412729 in words is "one hundred forty-two billion, nine hundred four million, four hundred twelve thousand, seven hundred twenty-nine".