135072520 has 128 divisors (see below), whose sum is σ = 354585600. Its totient is φ = 45792000.

The previous prime is 135072499. The next prime is 135072521. The reversal of 135072520 is 25270531.

It is not an unprimeable number, because it can be changed into a prime (135072521) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 894445 + ... + 894595.

It is an arithmetic number, because the mean of its divisors is an integer number (2770200).

Almost surely, 2^135072520 is an apocalyptic number.

135072520 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 135072520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177292800).

135072520 is an abundant number, since it is smaller than the sum of its proper divisors (219513080).

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

135072520 is a wasteful number, since it uses less digits than its factorization.

135072520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 25.

The square root of 135072520 is about 11622.0703835418. The cubic root of 135072520 is about 513.0846249343.

The spelling of 135072520 in words is "one hundred thirty-five million, seventy-two thousand, five hundred twenty".