135349760 has 240 divisors, whose sum is σ = 411442416. Its totient is φ = 42319872.

The previous prime is 135349759. The next prime is 135349783. The reversal of 135349760 is 67943531.

It is a happy number.

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, 1630679 + ... + 1630761.

Almost surely, 2^135349760 is an apocalyptic number.

135349760 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135349760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205721208).

135349760 is an abundant number, since it is smaller than the sum of its proper divisors (276092656).

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

135349760 is an equidigital number, since it uses as much as digits as its factorization.

135349760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 38.

The square root of 135349760 is about 11633.9915764109. The cubic root of 135349760 is about 513.4354250574.

The spelling of 135349760 in words is "one hundred thirty-five million, three hundred forty-nine thousand, seven hundred sixty".