142746770638224 has 135 divisors (see below), whose sum is σ = 424381842644097. Its totient is φ = 44782535941632.

The previous prime is 142746770638193. The next prime is 142746770638247. The reversal of 142746770638224 is 422836077647241.

The square root of 142746770638224 is 11947668.

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

142746770638224 is a `hidden beast` number, since 1 + 4 + 2 + 7 + 467 + 70 + 6 + 3 + 82 + 24 = 666.

It can be written as a sum of positive squares in only one way, i.e., 111135029043600 + 31611741594624 = 10542060^2 + 5622432^2 .

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, 2437294989 + ... + 2437353555.

Almost surely, 2^{142746770638224} is an apocalyptic number.

142746770638224 is the 11947668-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 142746770638224

142746770638224 is an abundant number, since it is smaller than the sum of its proper divisors (281635072005873).

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

142746770638224 is an frugal number, since it uses more digits than its factorization.

142746770638224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117182 (or 58589 counting only the distinct ones).

The product of its (nonzero) digits is 151732224, while the sum is 63.

The spelling of 142746770638224 in words is "one hundred forty-two trillion, seven hundred forty-six billion, seven hundred seventy million, six hundred thirty-eight thousand, two hundred twenty-four".