149120268213361 has 9 divisors (see below), whose sum is σ = 152846570368929. Its totient is φ = 145482700041600.

The previous prime is 149120268213341. The next prime is 149120268213493. The reversal of 149120268213361 is 163312862021941.

The square root of 149120268213361 is 12211481.

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 713296795761 + 148406971417600 = 844569^2 + 12182240^2 .

It is not a de Polignac number, because 149120268213361 - 2²⁷ = 149120133995633 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (149120268213341) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 500521801 + ... + 500819641.

Almost surely, 2^{149120268213361} is an apocalyptic number.

149120268213361 is the 12211481-st square number.

149120268213361 is the 6105741-st centered octagonal number.

It is an amenable number.

149120268213361 is a deficient number, since it is larger than the sum of its proper divisors (3726302155568).

149120268213361 is an frugal number, since it uses more digits than its factorization.

149120268213361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 595764 (or 297882 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 49.

The spelling of 149120268213361 in words is "one hundred forty-nine trillion, one hundred twenty billion, two hundred sixty-eight million, two hundred thirteen thousand, three hundred sixty-one".