1306055142144 has 72 divisors (see below), whose sum is σ = 3862234844720. Its totient is φ = 435351711744.

The previous prime is 1306055142107. The next prime is 1306055142149. The reversal of 1306055142144 is 4412415506031.

1306055142144 is a `hidden beast` number, since 1 + 3 + 0 + 60 + 551 + 4 + 2 + 1 + 44 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1306055142099 and 1306055142108.

It is not an unprimeable number, because it can be changed into a prime (1306055142149) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 94470457 + ... + 94484280.

Almost surely, 2^{1306055142144} is an apocalyptic number.

It is an amenable number.

1306055142144 is an abundant number, since it is smaller than the sum of its proper divisors (2556179702576).

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

1306055142144 is an equidigital number, since it uses as much as digits as its factorization.

1306055142144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188954762 (or 188954742 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 1306055142144 in words is "one trillion, three hundred six billion, fifty-five million, one hundred forty-two thousand, one hundred forty-four".