135702840 has 384 divisors, whose sum is σ = 544642560. Its totient is φ = 26320896.

The previous prime is 135702767. The next prime is 135702863. The reversal of 135702840 is 48207531.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 135702798 and 135702807.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3155859 + ... + 3155901.

It is an arithmetic number, because the mean of its divisors is an integer number (1418340).

Almost surely, 2^135702840 is an apocalyptic number.

135702840 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 135702840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272321280).

135702840 is an abundant number, since it is smaller than the sum of its proper divisors (408939720).

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

135702840 is a wasteful number, since it uses less digits than its factorization.

135702840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 135702840 is about 11649.1561926176. The cubic root of 135702840 is about 513.8814949844.

The spelling of 135702840 in words is "one hundred thirty-five million, seven hundred two thousand, eight hundred forty".