129937474576144 has 135 divisors (see below), whose sum is σ = 268037007440661. Its totient is φ = 61012983749760.

The previous prime is 129937474576097. The next prime is 129937474576181. The reversal of 129937474576144 is 441675474739921.

The square root of 129937474576144 is 11399012.

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

It can be written as a sum of positive squares in only one way, i.e., 119168050953744 + 10769423622400 = 10916412^2 + 3281680^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 110023263234 + ... + 110023264414.

Almost surely, 2^{129937474576144} is an apocalyptic number.

129937474576144 is the 11399012-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 129937474576144

129937474576144 is an abundant number, since it is smaller than the sum of its proper divisors (138099532864517).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

129937474576144 is an frugal number, since it uses more digits than its factorization.

129937474576144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2662 (or 1329 counting only the distinct ones).

The product of its digits is 1280240640, while the sum is 73.

The spelling of 129937474576144 in words is "one hundred twenty-nine trillion, nine hundred thirty-seven billion, four hundred seventy-four million, five hundred seventy-six thousand, one hundred forty-four".