149126496561 has 135 divisors (see below), whose sum is σ = 261954794283. Its totient is φ = 81744253920.

The previous prime is 149126496559. The next prime is 149126496577. The reversal of 149126496561 is 165694621941.

The square root of 149126496561 is 386169.

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

149126496561 is a `hidden beast` number, since 1 + 4 + 9 + 12 + 64 + 9 + 6 + 561 = 666.

It can be written as a sum of positive squares in only one way, i.e., 133440437025 + 15686059536 = 365295^2 + 125244^2 .

It is not a de Polignac number, because 149126496561 - 2¹ = 149126496559 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 149126496498 and 149126496507.

It is not an unprimeable number, because it can be changed into a prime (149126496521) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 2100373156 + ... + 2100373226.

Almost surely, 2^149126496561 is an apocalyptic number.

149126496561 is the 386169-th square number.

149126496561 is the 193085-th centered octagonal number.

It is an amenable number.

149126496561 is a deficient number, since it is larger than the sum of its proper divisors (112828297722).

149126496561 is an frugal number, since it uses more digits than its factorization.

149126496561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250 (or 118 counting only the distinct ones).

The product of its digits is 2799360, while the sum is 54.

The spelling of 149126496561 in words is "one hundred forty-nine billion, one hundred twenty-six million, four hundred ninety-six thousand, five hundred sixty-one".