142543505345241 has 768 divisors, whose sum is σ = 276158969856000. Its totient is φ = 63547801067520.

The previous prime is 142543505345221. The next prime is 142543505345257.

It is a happy number.

142543505345241 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 142543505345241 - 2²⁵ = 142543471790809 is a prime.

It is a super-2 number, since 2×142543505345241² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (142543505345221) by changing a digit.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 853553924140 + ... + 853553924306.

It is an arithmetic number, because the mean of its divisors is an integer number (359581992000).

Almost surely, 2^{142543505345241} is an apocalyptic number.

142543505345241 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

142543505345241 is a deficient number, since it is larger than the sum of its proper divisors (133615464510759).

142543505345241 is a wasteful number, since it uses less digits than its factorization.

142543505345241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 550 (or 539 counting only the distinct ones).

The product of its (nonzero) digits is 5760000, while the sum is 48.

It can be divided in two parts, 14254350 and 5345241, that added together give a palindrome (19599591).

The spelling of 142543505345241 in words is "one hundred forty-two trillion, five hundred forty-three billion, five hundred five million, three hundred forty-five thousand, two hundred forty-one".