147742357410729 has 24 divisors (see below), whose sum is σ = 221066942077800. Its totient is φ = 95012898140160.

The previous prime is 147742357410707. The next prime is 147742357410733. The reversal of 147742357410729 is 927014753247741.

147742357410729 is a `hidden beast` number, since 1 + 4 + 7 + 7 + 4 + 23 + 574 + 10 + 7 + 29 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 12892781785104 + 134849575625625 = 3590652^2 + 11612475^2 .

It is not a de Polignac number, because 147742357410729 - 2¹³ = 147742357402537 is a prime.

It is a super-2 number, since 2×147742357410729² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (147742357418729) 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, 2249325544 + ... + 2249391225.

It is an arithmetic number, because the mean of its divisors is an integer number (9211122586575).

Almost surely, 2^{147742357410729} is an apocalyptic number.

It is an amenable number.

147742357410729 is a deficient number, since it is larger than the sum of its proper divisors (73324584667071).

147742357410729 is a wasteful number, since it uses less digits than its factorization.

147742357410729 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4498716905 (or 4498716902 counting only the distinct ones).

The product of its (nonzero) digits is 82978560, while the sum is 63.

The spelling of 147742357410729 in words is "one hundred forty-seven trillion, seven hundred forty-two billion, three hundred fifty-seven million, four hundred ten thousand, seven hundred twenty-nine".