135702540 has 120 divisors (see below), whose sum is σ = 428798832. Its totient is φ = 35925120.

The previous prime is 135702533. The next prime is 135702563. The reversal of 135702540 is 45207531.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 341622 + ... + 342018.

Almost surely, 2^135702540 is an apocalyptic number.

135702540 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 135702540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214399416).

135702540 is an abundant number, since it is smaller than the sum of its proper divisors (293096292).

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

135702540 is a wasteful number, since it uses less digits than its factorization.

135702540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 629 (or 618 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 135702540 is about 11649.1433161413. The cubic root of 135702540 is about 513.8811163026.

It can be divided in two parts, 13570 and 2540, that added together give a triangular number (16110 = T₁₇₉).

The spelling of 135702540 in words is "one hundred thirty-five million, seven hundred two thousand, five hundred forty".