145126626336 has 36 divisors (see below), whose sum is σ = 412703844462. Its totient is φ = 48375542016.

The previous prime is 145126626299. The next prime is 145126626353. The reversal of 145126626336 is 633626621541.

145126626336 is a `hidden beast` number, since 1 + 4 + 5 + 1 + 2 + 6 + 6 + 2 + 633 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 142385475600 + 2741150736 = 377340^2 + 52356^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a junction number, because it is equal to n+sod(n) for n = 145126626291 and 145126626300.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 251955661 + ... + 251956236.

Almost surely, 2^145126626336 is an apocalyptic number.

145126626336 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

145126626336 is an abundant number, since it is smaller than the sum of its proper divisors (267577218126).

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

145126626336 is a wasteful number, since it uses less digits than its factorization.

145126626336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 503911913 (or 503911902 counting only the distinct ones).

The product of its digits is 933120, while the sum is 45.

The spelling of 145126626336 in words is "one hundred forty-five billion, one hundred twenty-six million, six hundred twenty-six thousand, three hundred thirty-six".