145555787555541 has 72 divisors (see below), whose sum is σ = 233940752867640. Its totient is φ = 87134715360000.

The previous prime is 145555787555537. The next prime is 145555787555597.

145555787555541 is a `hidden beast` number, since 1 + 4 + 5 + 5 + 5 + 5 + 7 + 8 + 75 + 5 + 5 + 541 = 666.

145555787555541 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 5977394206641 + 139578393348900 = 2444871^2 + 11814330^2 .

It is not a de Polignac number, because 145555787555541 - 2² = 145555787555537 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 145555787555541.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145555783555541) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 44733675 + ... + 47877063.

Almost surely, 2^{145555787555541} is an apocalyptic number.

145555787555541 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

145555787555541 is a deficient number, since it is larger than the sum of its proper divisors (88384965312099).

145555787555541 is a wasteful number, since it uses less digits than its factorization.

145555787555541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3143939 (or 3143925 counting only the distinct ones).

The product of its digits is 2450000000, while the sum is 72.

It can be divided in two parts, 1455557 and 87555541, that added together give a palindrome (89011098).

The spelling of 145555787555541 in words is "one hundred forty-five trillion, five hundred fifty-five billion, seven hundred eighty-seven million, five hundred fifty-five thousand, five hundred forty-one".