156126926641 has 27 divisors (see below), whose sum is σ = 185718082347. Its totient is φ = 130866724800.

The previous prime is 156126926609. The next prime is 156126926653. The reversal of 156126926641 is 146629621651.

The square root of 156126926641 is 395129.

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., 259886641 + 155867040000 = 16121^2 + 394800^2 .

It is not a de Polignac number, because 156126926641 - 2⁵ = 156126926609 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is not an unprimeable number, because it can be changed into a prime (156126926041) 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, 129996841 + ... + 129998041.

Almost surely, 2^156126926641 is an apocalyptic number.

156126926641 is the 395129-th square number.

156126926641 is the 197565-th centered octagonal number.

It is an amenable number.

156126926641 is a deficient number, since it is larger than the sum of its proper divisors (29591155706).

156126926641 is an frugal number, since it uses more digits than its factorization.

156126926641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2510 (or 1255 counting only the distinct ones).

The product of its digits is 933120, while the sum is 49.

Multiplying 156126926641 by its sum of digits (49), we get a square (7650219405409 = 2765903²).

156126926641 divided by its sum of digits (49) gives a square (3186263809 = 56447²).

The spelling of 156126926641 in words is "one hundred fifty-six billion, one hundred twenty-six million, nine hundred twenty-six thousand, six hundred forty-one".