149645506089024 has 189 divisors, whose sum is σ = 471480692190781. Its totient is φ = 45346144419840.

The previous prime is 149645506088963. The next prime is 149645506089043. The reversal of 149645506089024 is 420980605546941.

The square root of 149645506089024 is 12232968.

It is a perfect power (a square), and thus also a powerful number.

149645506089024 is a `hidden beast` number, since 1 + 4 + 9 + 6 + 45 + 506 + 0 + 89 + 0 + 2 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 64813448462400 + 84832057626624 = 8050680^2 + 9210432^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3229480384 + ... + 3229526720.

Almost surely, 2^{149645506089024} is an apocalyptic number.

149645506089024 is the 12232968-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 149645506089024

149645506089024 is an abundant number, since it is smaller than the sum of its proper divisors (321835186101757).

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

149645506089024 is an frugal number, since it uses more digits than its factorization.

149645506089024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92714 (or 46353 counting only the distinct ones).

The product of its (nonzero) digits is 74649600, while the sum is 63.

The spelling of 149645506089024 in words is "one hundred forty-nine trillion, six hundred forty-five billion, five hundred six million, eighty-nine thousand, twenty-four".