135100377 has 24 divisors (see below), whose sum is σ = 208545480. Its totient is φ = 83980800.

The previous prime is 135100369. The next prime is 135100397. The reversal of 135100377 is 773001531.

It can be written as a sum of positive squares in 4 ways, for example, as 98485776 + 36614601 = 9924^2 + 6051^2 .

It is not a de Polignac number, because 135100377 - 2³ = 135100369 is a prime.

It is a super-2 number, since 2×135100377² = 36504223731084258, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 135100377.

It is not an unprimeable number, because it can be changed into a prime (135100397) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12627 + ... + 20727.

It is an arithmetic number, because the mean of its divisors is an integer number (8689395).

Almost surely, 2^135100377 is an apocalyptic number.

135100377 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

135100377 is a deficient number, since it is larger than the sum of its proper divisors (73445103).

135100377 is a wasteful number, since it uses less digits than its factorization.

135100377 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8233 (or 8230 counting only the distinct ones).

The product of its (nonzero) digits is 2205, while the sum is 27.

The square root of 135100377 is about 11623.2687743165. The cubic root of 135100377 is about 513.1198949160.

The spelling of 135100377 in words is "one hundred thirty-five million, one hundred thousand, three hundred seventy-seven".