142961156448000 has 1152 divisors, whose sum is σ = 562869140520960. Its totient is φ = 31773911040000.

The previous prime is 142961156447917. The next prime is 142961156448007. The reversal of 142961156448000 is 844651169241.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142961156448007) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 621869077 + ... + 622098923.

It is an arithmetic number, because the mean of its divisors is an integer number (488601684480).

Almost surely, 2^{142961156448000} is an apocalyptic number.

142961156448000 is a gapful number since it is divisible by the number (10) 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 142961156448000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281434570260480).

142961156448000 is an abundant number, since it is smaller than the sum of its proper divisors (419907984072960).

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

142961156448000 is a wasteful number, since it uses less digits than its factorization.

142961156448000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229942 (or 229918 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 51.

The spelling of 142961156448000 in words is "one hundred forty-two trillion, nine hundred sixty-one billion, one hundred fifty-six million, four hundred forty-eight thousand".