1020254013144 has 128 divisors (see below), whose sum is σ = 2845441368000. Its totient is φ = 338717832192.

The previous prime is 1020254013137. The next prime is 1020254013157. The reversal of 1020254013144 is 4413104520201.

1020254013144 is a `hidden beast` number, since 10 + 202 + 5 + 401 + 3 + 1 + 44 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 132204774 + ... + 132212490.

Almost surely, 2^{1020254013144} 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 1020254013144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1422720684000).

1020254013144 is an abundant number, since it is smaller than the sum of its proper divisors (1825187354856).

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

1020254013144 is a wasteful number, since it uses less digits than its factorization.

1020254013144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10114 (or 10104 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 1020254013144 its reverse (4413104520201), we get a palindrome (5433358533345).

The spelling of 1020254013144 in words is "one trillion, twenty billion, two hundred fifty-four million, thirteen thousand, one hundred forty-four".