135700137 has 32 divisors (see below), whose sum is σ = 213926400. Its totient is φ = 84720384.

The previous prime is 135700129. The next prime is 135700153. The reversal of 135700137 is 731007531.

It is not a de Polignac number, because 135700137 - 2³ = 135700129 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 135700137.

It is not an unprimeable number, because it can be changed into a prime (135700157) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 109083 + ... + 110319.

It is an arithmetic number, because the mean of its divisors is an integer number (6685200).

Almost surely, 2^135700137 is an apocalyptic number.

135700137 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

135700137 is a deficient number, since it is larger than the sum of its proper divisors (78226263).

135700137 is a wasteful number, since it uses less digits than its factorization.

135700137 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1502 (or 1496 counting only the distinct ones).

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

The square root of 135700137 is about 11649.0401750531. The cubic root of 135700137 is about 513.8780830418.

Adding to 135700137 its reverse (731007531), we get a palindrome (866707668).

The spelling of 135700137 in words is "one hundred thirty-five million, seven hundred thousand, one hundred thirty-seven".