135015600 has 120 divisors (see below), whose sum is σ = 440061120. Its totient is φ = 35375360.

The previous prime is 135015599. The next prime is 135015607. The reversal of 135015600 is 6510531.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is not an unprimeable number, because it can be changed into a prime (135015607) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 69847 + ... + 71753.

It is an arithmetic number, because the mean of its divisors is an integer number (3667176).

Almost surely, 2^135015600 is an apocalyptic number.

135015600 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 135015600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220030560).

135015600 is an abundant number, since it is smaller than the sum of its proper divisors (305045520).

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

135015600 is a wasteful number, since it uses less digits than its factorization.

135015600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1987 (or 1976 counting only the distinct ones).

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

The square root of 135015600 is about 11619.6213363431. The cubic root of 135015600 is about 513.0125429640.

The spelling of 135015600 in words is "one hundred thirty-five million, fifteen thousand, six hundred".