202540512144 has 40 divisors (see below), whose sum is σ = 524901355552. Its totient is φ = 67297800960.

The previous prime is 202540512103. The next prime is 202540512199. The reversal of 202540512144 is 441215045202.

202540512144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×202540512144² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6725542 + ... + 6755589.

Almost surely, 2^202540512144 is an apocalyptic number.

202540512144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

202540512144 is an abundant number, since it is smaller than the sum of its proper divisors (322360843408).

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

202540512144 is a wasteful number, since it uses less digits than its factorization.

202540512144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13481455 (or 13481449 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 30.

Adding to 202540512144 its reverse (441215045202), we get a palindrome (643755557346).

The spelling of 202540512144 in words is "two hundred two billion, five hundred forty million, five hundred twelve thousand, one hundred forty-four".