149732624209 has 45 divisors (see below), whose sum is σ = 179238547313. Its totient is φ = 125075592096.

The previous prime is 149732624203. The next prime is 149732624263. The reversal of 149732624209 is 902426237941.

It is a happy number.

The square root of 149732624209 is 386953.

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

It can be written as a sum of positive squares in 4 ways, for example, as 6340140625 + 143392483584 = 79625^2 + 378672^2 .

It is not a de Polignac number, because 149732624209 - 2³ = 149732624201 is a prime.

It is a super-2 number, since 2×149732624209² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is not an unprimeable number, because it can be changed into a prime (149732624201) by changing a digit.

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, 1004916867 + ... + 1004917015.

Almost surely, 2^149732624209 is an apocalyptic number.

149732624209 is the 386953-rd square number.

149732624209 is the 193477-th centered octagonal number.

It is an amenable number.

149732624209 is a deficient number, since it is larger than the sum of its proper divisors (29505923104).

149732624209 is an frugal number, since it uses more digits than its factorization.

149732624209 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 432 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 49.

Multiplying 149732624209 by its sum of digits (49), we get a square (7336898586241 = 2708671²).

149732624209 divided by its sum of digits (49) gives a square (3055767841 = 55279²).

The spelling of 149732624209 in words is "one hundred forty-nine billion, seven hundred thirty-two million, six hundred twenty-four thousand, two hundred nine".