149909126761 has 9 divisors (see below), whose sum is σ = 150511274181. Its totient is φ = 149309383392.

The previous prime is 149909126707. The next prime is 149909126791. The reversal of 149909126761 is 167621909941.

The square root of 149909126761 is 387181.

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 26918636761 + 122990490000 = 164069^2 + 350700^2 .

It is not a de Polignac number, because 149909126761 - 2¹⁵ = 149909093993 is a prime.

It is a super-2 number, since 2×149909126761² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (149909126791) 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, 121187035 + ... + 121188271.

It is an arithmetic number, because the mean of its divisors is an integer number (16723474909).

Almost surely, 2^149909126761 is an apocalyptic number.

149909126761 is the 387181-st square number.

149909126761 is the 193591-st centered octagonal number.

It is an amenable number.

149909126761 is a deficient number, since it is larger than the sum of its proper divisors (602147420).

149909126761 is an frugal number, since it uses more digits than its factorization.

149909126761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3100 (or 1550 counting only the distinct ones).

The product of its (nonzero) digits is 1469664, while the sum is 55.

The spelling of 149909126761 in words is "one hundred forty-nine billion, nine hundred nine million, one hundred twenty-six thousand, seven hundred sixty-one".