161374941225 has 135 divisors (see below), whose sum is σ = 305456844693. Its totient is φ = 84225173760.

The previous prime is 161374941199. The next prime is 161374941281. The reversal of 161374941225 is 522149473161.

The square root of 161374941225 is 401715.

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

161374941225 is a `hidden beast` number, since 1 + 6 + 1 + 37 + 494 + 122 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 82101160089 + 79273781136 = 286533^2 + 281556^2 .

It is a tau number, because it is divible by the number of its divisors (135).

It is a de Polignac number, because none of the positive numbers 2^k-161374941225 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 1428096769 + ... + 1428096881.

Almost surely, 2^161374941225 is an apocalyptic number.

161374941225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

161374941225 is the 401715-th square number.

161374941225 is the 200858-th centered octagonal number.

It is an amenable number.

161374941225 is a deficient number, since it is larger than the sum of its proper divisors (144081903468).

161374941225 is an frugal number, since it uses more digits than its factorization.

161374941225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 406 (or 200 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The spelling of 161374941225 in words is "one hundred sixty-one billion, three hundred seventy-four million, nine hundred forty-one thousand, two hundred twenty-five".