1072142145204 has 96 divisors (see below), whose sum is σ = 2853122952960. Its totient is φ = 310425212928.

The previous prime is 1072142145197. The next prime is 1072142145209. The reversal of 1072142145204 is 4025412412701.

It is a super-2 number, since 2×1072142145204² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1072142145209) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14918782 + ... + 14990474.

It is an arithmetic number, because the mean of its divisors is an integer number (29720030760).

Almost surely, 2^{1072142145204} 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 1072142145204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1426561476480).

1072142145204 is an abundant number, since it is smaller than the sum of its proper divisors (1780980807756).

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

1072142145204 is a wasteful number, since it uses less digits than its factorization.

1072142145204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77369 (or 77367 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 33.

Adding to 1072142145204 its reverse (4025412412701), we get a palindrome (5097554557905).

The spelling of 1072142145204 in words is "one trillion, seventy-two billion, one hundred forty-two million, one hundred forty-five thousand, two hundred four".