149549264656 has 225 divisors, whose sum is σ = 345933290245. Its totient is φ = 62617054720.

The previous prime is 149549264603. The next prime is 149549264663. The reversal of 149549264656 is 656462945941.

The square root of 149549264656 is 386716.

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

It can be written as a sum of positive squares in only one way, i.e., 116431088400 + 33118176256 = 341220^2 + 181984^2 .

It is a Duffinian number.

Its product of digits (55987200) is a multiple of the sum of its prime factors (180).

It is a junction number, because it is equal to n+sod(n) for n = 149549264594 and 149549264603.

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 44 ways as a sum of consecutive naturals, for example, 3181899225 + ... + 3181899271.

Almost surely, 2^149549264656 is an apocalyptic number.

149549264656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

149549264656 is the 386716-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 149549264656

149549264656 is an abundant number, since it is smaller than the sum of its proper divisors (196384025589).

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

149549264656 is an frugal number, since it uses more digits than its factorization.

149549264656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 77 counting only the distinct ones).

The product of its digits is 55987200, while the sum is 61.

The spelling of 149549264656 in words is "one hundred forty-nine billion, five hundred forty-nine million, two hundred sixty-four thousand, six hundred fifty-six".