142961257824 has 192 divisors, whose sum is σ = 468087621120. Its totient is φ = 37115781120.

The previous prime is 142961257781. The next prime is 142961257949. The reversal of 142961257824 is 428752169241.

It is a happy number.

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, 28745002 + ... + 28749974.

It is an arithmetic number, because the mean of its divisors is an integer number (2437956360).

Almost surely, 2^142961257824 is an apocalyptic number.

142961257824 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 142961257824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234043810560).

142961257824 is an abundant number, since it is smaller than the sum of its proper divisors (325126363296).

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

142961257824 is a wasteful number, since it uses less digits than its factorization.

142961257824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8893 (or 8885 counting only the distinct ones).

The product of its digits is 1935360, while the sum is 51.

The spelling of 142961257824 in words is "one hundred forty-two billion, nine hundred sixty-one million, two hundred fifty-seven thousand, eight hundred twenty-four".