151826343201 has 81 divisors (see below), whose sum is σ = 242297560089. Its totient is φ = 91570632192.

The previous prime is 151826343199. The next prime is 151826343217. The reversal of 151826343201 is 102343628151.

The square root of 151826343201 is 389649.

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

151826343201 is a `hidden beast` number, since 1 + 5 + 18 + 2 + 634 + 3 + 2 + 0 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 27739235601 + 124087107600 = 166551^2 + 352260^2 .

It is not a de Polignac number, because 151826343201 - 2¹ = 151826343199 is a prime.

It is not an unprimeable number, because it can be changed into a prime (151826343281) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 1474042116 + ... + 1474042218.

Almost surely, 2^151826343201 is an apocalyptic number.

151826343201 is the 389649-th square number.

151826343201 is the 194825-th centered octagonal number.

It is an amenable number.

151826343201 is a deficient number, since it is larger than the sum of its proper divisors (90471216888).

151826343201 is an equidigital number, since it uses as much as digits as its factorization.

151826343201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 432 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

Multiplying 151826343201 by its sum of digits (36), we get a square (5465748355236 = 2337894²).

The spelling of 151826343201 in words is "one hundred fifty-one billion, eight hundred twenty-six million, three hundred forty-three thousand, two hundred one".