142072472256 has 448 divisors, whose sum is σ = 462479818752. Its totient is φ = 37900800000.

The previous prime is 142072472237. The next prime is 142072472357. The reversal of 142072472256 is 652274270241.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 60429481 + ... + 60431831.

It is an arithmetic number, because the mean of its divisors is an integer number (1032321024).

Almost surely, 2^142072472256 is an apocalyptic number.

142072472256 is a gapful number since it is divisible by the number (16) 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 142072472256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231239909376).

142072472256 is an abundant number, since it is smaller than the sum of its proper divisors (320407346496).

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

142072472256 is a wasteful number, since it uses less digits than its factorization.

142072472256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2492 (or 2482 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 42.

The spelling of 142072472256 in words is "one hundred forty-two billion, seventy-two million, four hundred seventy-two thousand, two hundred fifty-six".