135852040 has 32 divisors (see below), whose sum is σ = 306000000. Its totient is φ = 54281664.

The previous prime is 135852019. The next prime is 135852097. The reversal of 135852040 is 40258531.

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, 66961 + ... + 68959.

It is an arithmetic number, because the mean of its divisors is an integer number (9562500).

Almost surely, 2^135852040 is an apocalyptic number.

135852040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135852040 is an abundant number, since it is smaller than the sum of its proper divisors (170147960).

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

135852040 is a wasteful number, since it uses less digits than its factorization.

135852040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3709 (or 3705 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 28.

The square root of 135852040 is about 11655.5583306850. The cubic root of 135852040 is about 514.0697569182.

It can be divided in two parts, 13585 and 2040, that added together give a 6-th power (15625 = 5⁶).

The spelling of 135852040 in words is "one hundred thirty-five million, eight hundred fifty-two thousand, forty".