135997950841 has 9 divisors (see below), whose sum is σ = 139786937199. Its totient is φ = 132309054504.

The previous prime is 135997950833. The next prime is 135997950883. The reversal of 135997950841 is 148059799531.

The square root of 135997950841 is 368779.

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., 121692834025 + 14305116816 = 348845^2 + 119604^2 .

It is not a de Polignac number, because 135997950841 - 2³ = 135997950833 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 135997950841.

It is not an unprimeable number, because it can be changed into a prime (135997950811) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 13639840 + ... + 13649806.

It is an arithmetic number, because the mean of its divisors is an integer number (15531881911).

Almost surely, 2^135997950841 is an apocalyptic number.

135997950841 is the 368779-th square number.

135997950841 is the 184390-th centered octagonal number.

It is an amenable number.

135997950841 is a deficient number, since it is larger than the sum of its proper divisors (3788986358).

135997950841 is an frugal number, since it uses more digits than its factorization.

135997950841 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20008 (or 10004 counting only the distinct ones).

The product of its (nonzero) digits is 12247200, while the sum is 61.

The spelling of 135997950841 in words is "one hundred thirty-five billion, nine hundred ninety-seven million, nine hundred fifty thousand, eight hundred forty-one".