135977300001 has 27 divisors (see below), whose sum is σ = 198538717273. Its totient is φ = 89680243200.

The previous prime is 135977299973. The next prime is 135977300083. The reversal of 135977300001 is 100003779531.

The square root of 135977300001 is 368751.

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 22459518225 + 113517781776 = 149865^2 + 336924^2 .

It is a de Polignac number, because none of the positive numbers 2^k-135977300001 is a prime.

It is a super-2 number, since 2×135977300001² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (135977300201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 111730945 + ... + 111732161.

Almost surely, 2^135977300001 is an apocalyptic number.

135977300001 is the 368751-st square number.

135977300001 is the 184376-th centered octagonal number.

It is an amenable number.

135977300001 is a deficient number, since it is larger than the sum of its proper divisors (62561417272).

135977300001 is an frugal number, since it uses more digits than its factorization.

135977300001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2642 (or 1321 counting only the distinct ones).

The product of its (nonzero) digits is 19845, while the sum is 36.

Multiplying 135977300001 by its sum of digits (36), we get a square (4895182800036 = 2212506²).

The spelling of 135977300001 in words is "one hundred thirty-five billion, nine hundred seventy-seven million, three hundred thousand, one".