136304434152601 has 81 divisors (see below), whose sum is σ = 171261401903613. Its totient is φ = 108336054752640.

The previous prime is 136304434152547. The next prime is 136304434152613. The reversal of 136304434152601 is 106251434403631.

The square root of 136304434152601 is 11674949.

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

It can be written as a sum of positive squares in 4 ways, for example, as 16458429496201 + 119846004656400 = 4056899^2 + 10947420^2 .

It is not a de Polignac number, because 136304434152601 - 2¹³ = 136304434144409 is a prime.

It is not an unprimeable number, because it can be changed into a prime (136304434152671) 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, 31720834285 + ... + 31720838581.

Almost surely, 2^{136304434152601} is an apocalyptic number.

136304434152601 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

136304434152601 is the 11674949-th square number.

136304434152601 is the 5837475-th centered octagonal number.

It is an amenable number.

136304434152601 is a deficient number, since it is larger than the sum of its proper divisors (34956967751012).

136304434152601 is an frugal number, since it uses more digits than its factorization.

136304434152601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8680 (or 4340 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 43.

The spelling of 136304434152601 in words is "one hundred thirty-six trillion, three hundred four billion, four hundred thirty-four million, one hundred fifty-two thousand, six hundred one".