135067392 has 72 divisors (see below), whose sum is σ = 399438480. Its totient is φ = 45020160.

The previous prime is 135067391. The next prime is 135067393. The reversal of 135067392 is 293760531.

It is an interprime number because it is at equal distance from previous prime (135067391) and next prime (135067393).

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135067391) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2859 + ... + 16682.

Almost surely, 2^135067392 is an apocalyptic number.

135067392 is a gapful number since it is divisible by the number (12) 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 135067392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199719240).

135067392 is an abundant number, since it is smaller than the sum of its proper divisors (264371088).

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

135067392 is an equidigital number, since it uses as much as digits as its factorization.

135067392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19566 (or 19546 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 36.

The square root of 135067392 is about 11621.8497667110. The cubic root of 135067392 is about 513.0781318020.

The spelling of 135067392 in words is "one hundred thirty-five million, sixty-seven thousand, three hundred ninety-two".