135354240 has 320 divisors, whose sum is σ = 553908960. Its totient is φ = 30855168.

The previous prime is 135354229. The next prime is 135354269. The reversal of 135354240 is 42453531.

It is a tau number, because it is divible by the number of its divisors (320).

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

It is a congruent number.

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, 362694 + ... + 363066.

Almost surely, 2^135354240 is an apocalyptic number.

135354240 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 135354240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276954480).

135354240 is an abundant number, since it is smaller than the sum of its proper divisors (418554720).

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

135354240 is an equidigital number, since it uses as much as digits as its factorization.

135354240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 411 (or 390 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 135354240 is about 11634.1841140666. The cubic root of 135354240 is about 513.4410898016.

The spelling of 135354240 in words is "one hundred thirty-five million, three hundred fifty-four thousand, two hundred forty".