135617000 has 32 divisors (see below), whose sum is σ = 317346120. Its totient is φ = 54246400.

The previous prime is 135616981. The next prime is 135617017. The reversal of 135617000 is 716531.

It can be written as a sum of positive squares in 4 ways, for example, as 24820324 + 110796676 = 4982^2 + 10526^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 66809 + ... + 68808.

Almost surely, 2^135617000 is an apocalyptic number.

135617000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135617000 is an abundant number, since it is smaller than the sum of its proper divisors (181729120).

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

135617000 is a wasteful number, since it uses less digits than its factorization.

135617000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135638 (or 135624 counting only the distinct ones).

The product of its (nonzero) digits is 630, while the sum is 23.

The square root of 135617000 is about 11645.4712227544. The cubic root of 135617000 is about 513.7731187415.

The spelling of 135617000 in words is "one hundred thirty-five million, six hundred seventeen thousand".