135692100 has 54 divisors (see below), whose sum is σ = 425322170. Its totient is φ = 36184320.

The previous prime is 135692093. The next prime is 135692101. The reversal of 135692100 is 1296531.

It can be written as a sum of positive squares in 3 ways, for example, as 43877376 + 91814724 = 6624^2 + 9582^2 .

It is not an unprimeable number, because it can be changed into a prime (135692101) 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 17 ways as a sum of consecutive naturals, for example, 74485 + ... + 76284.

Almost surely, 2^135692100 is an apocalyptic number.

135692100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135692100 is an abundant number, since it is smaller than the sum of its proper divisors (289630070).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

135692100 is a wasteful number, since it uses less digits than its factorization.

135692100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150789 (or 150779 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 135692100 is about 11648.6952059018. The cubic root of 135692100 is about 513.8679378305.

The spelling of 135692100 in words is "one hundred thirty-five million, six hundred ninety-two thousand, one hundred".