149745006961 has 27 divisors (see below), whose sum is σ = 166503072267. Its totient is φ = 134572339440.

The previous prime is 149745006959. The next prime is 149745006967. The reversal of 149745006961 is 169600547941.

The square root of 149745006961 is 386969.

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., 25810029025 + 123934977936 = 160655^2 + 352044^2 .

It is not a de Polignac number, because 149745006961 - 2¹ = 149745006959 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 149745006899 and 149745006908.

It is not an unprimeable number, because it can be changed into a prime (149745006967) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 540595555 + ... + 540595831.

Almost surely, 2^149745006961 is an apocalyptic number.

149745006961 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

149745006961 is the 386969-th square number.

149745006961 is the 193485-th centered octagonal number.

It is an amenable number.

149745006961 is a deficient number, since it is larger than the sum of its proper divisors (16758065306).

149745006961 is an frugal number, since it uses more digits than its factorization.

149745006961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 830 (or 415 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 52.

The spelling of 149745006961 in words is "one hundred forty-nine billion, seven hundred forty-five million, six thousand, nine hundred sixty-one".