135353640 has 32 divisors (see below), whose sum is σ = 406061280. Its totient is φ = 36094272.

The previous prime is 135353629. The next prime is 135353651. The reversal of 135353640 is 46353531.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (135353629) and next prime (135353651).

It is a super-2 number, since 2×135353640² = 36641215722499200, which contains 22 as substring.

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 = 135353598 and 135353607.

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, 563854 + ... + 564093.

It is an arithmetic number, because the mean of its divisors is an integer number (12689415).

Almost surely, 2^135353640 is an apocalyptic number.

135353640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135353640 is an abundant number, since it is smaller than the sum of its proper divisors (270707640).

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

135353640 is a wasteful number, since it uses less digits than its factorization.

135353640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1127961 (or 1127957 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 30.

The square root of 135353640 is about 11634.1583279582. The cubic root of 135353640 is about 513.4403311378.

The spelling of 135353640 in words is "one hundred thirty-five million, three hundred fifty-three thousand, six hundred forty".