135744000 has 320 divisors, whose sum is σ = 520895232. Its totient is φ = 30720000.

The previous prime is 135743981. The next prime is 135744019. The reversal of 135744000 is 447531.

It is an interprime number because it is at equal distance from previous prime (135743981) and next prime (135744019).

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

It is a super-3 number, since 3×135744000³ (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1343950 + ... + 1344050.

Almost surely, 2^135744000 is an apocalyptic number.

135744000 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 135744000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260447616).

135744000 is an abundant number, since it is smaller than the sum of its proper divisors (385151232).

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

135744000 is an equidigital number, since it uses as much as digits as its factorization.

135744000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 135744000 is about 11650.9227102406. The cubic root of 135744000 is about 513.9334448287.

The spelling of 135744000 in words is "one hundred thirty-five million, seven hundred forty-four thousand".