442645154136 has 128 divisors (see below), whose sum is σ = 1264756838400. Its totient is φ = 143361912960.

The previous prime is 442645154123. The next prime is 442645154137. The reversal of 442645154136 is 631451546244.

442645154136 is a `hidden beast` number, since 4 + 4 + 2 + 64 + 515 + 41 + 36 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 442645154091 and 442645154100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442645154137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1649250 + ... + 1898766.

It is an arithmetic number, because the mean of its divisors is an integer number (9880912800).

Almost surely, 2^442645154136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 442645154136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (632378419200).

442645154136 is an abundant number, since it is smaller than the sum of its proper divisors (822111684264).

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

442645154136 is a wasteful number, since it uses less digits than its factorization.

442645154136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249766 (or 249756 counting only the distinct ones).

The product of its digits is 1382400, while the sum is 45.

It can be divided in two parts, 44264 and 5154136, that added together give a square (5198400 = 2280²).

The spelling of 442645154136 in words is "four hundred forty-two billion, six hundred forty-five million, one hundred fifty-four thousand, one hundred thirty-six".