135516000 has 192 divisors, whose sum is σ = 464196096. Its totient is φ = 34496000.

The previous prime is 135515969. The next prime is 135516011. The reversal of 135516000 is 615531.

It is a happy number.

It is a congruent number.

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, 275755 + ... + 276245.

It is an arithmetic number, because the mean of its divisors is an integer number (2417688).

Almost surely, 2^135516000 is an apocalyptic number.

135516000 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 135516000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232098048).

135516000 is an abundant number, since it is smaller than the sum of its proper divisors (328680096).

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

135516000 is a wasteful number, since it uses less digits than its factorization.

135516000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 542 (or 524 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 21.

The square root of 135516000 is about 11641.1339653833. The cubic root of 135516000 is about 513.6455438500.

The spelling of 135516000 in words is "one hundred thirty-five million, five hundred sixteen thousand".