135014000 has 240 divisors, whose sum is σ = 397983456. Its totient is φ = 43776000.

The previous prime is 135013997. The next prime is 135014003. The reversal of 135014000 is 410531.

It is an interprime number because it is at equal distance from previous prime (135013997) and next prime (135014003).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135014003) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7105991 + ... + 7106009.

Almost surely, 2^135014000 is an apocalyptic number.

135014000 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 135014000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198991728).

135014000 is an abundant number, since it is smaller than the sum of its proper divisors (262969456).

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

135014000 is a wasteful number, since it uses less digits than its factorization.

135014000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 14.

The square root of 135014000 is about 11619.5524870797. The cubic root of 135014000 is about 513.0105164739.

Adding to 135014000 its reverse (410531), we get a palindrome (135424531).

The spelling of 135014000 in words is "one hundred thirty-five million, fourteen thousand".