135661140 has 72 divisors (see below), whose sum is σ = 433174560. Its totient is φ = 34271424.

The previous prime is 135661117. The next prime is 135661189. The reversal of 135661140 is 41166531.

135661140 is a `hidden beast` number, since 1 + 3 + 5 + 6 + 611 + 40 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16414 + ... + 23253.

Almost surely, 2^135661140 is an apocalyptic number.

135661140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135661140 is an abundant number, since it is smaller than the sum of its proper divisors (297513420).

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

135661140 is a wasteful number, since it uses less digits than its factorization.

135661140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39701 (or 39696 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 135661140 is about 11647.3662258899. The cubic root of 135661140 is about 513.8288528690.

It can be divided in two parts, 13566 and 1140, that added together give a triangular number (14706 = T₁₇₁).

The spelling of 135661140 in words is "one hundred thirty-five million, six hundred sixty-one thousand, one hundred forty".