141807200256 has 360 divisors, whose sum is σ = 434984159610. Its totient is φ = 46012022784.

The previous prime is 141807200243. The next prime is 141807200263. The reversal of 141807200256 is 652002708141.

It can be written as a sum of positive squares in only one way, i.e., 108362105856 + 33445094400 = 329184^2 + 182880^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 141807200256.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 1116592065 + ... + 1116592191.

Almost surely, 2^141807200256 is an apocalyptic number.

141807200256 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 141807200256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217492079805).

141807200256 is an abundant number, since it is smaller than the sum of its proper divisors (293176959354).

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

141807200256 is an frugal number, since it uses more digits than its factorization.

141807200256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 341 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

Adding to 141807200256 its reverse (652002708141), we get a palindrome (793809908397).

The spelling of 141807200256 in words is "one hundred forty-one billion, eight hundred seven million, two hundred thousand, two hundred fifty-six".