135124920 has 288 divisors, whose sum is σ = 531554400. Its totient is φ = 29127168.

The previous prime is 135124919. The next prime is 135124921. The reversal of 135124920 is 29421531.

135124920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (135124919) and next prime (135124921).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135124921) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3142419 + ... + 3142461.

It is an arithmetic number, because the mean of its divisors is an integer number (1845675).

Almost surely, 2^135124920 is an apocalyptic number.

135124920 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 135124920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265777200).

135124920 is an abundant number, since it is smaller than the sum of its proper divisors (396429480).

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

135124920 is a wasteful number, since it uses less digits than its factorization.

135124920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 135124920 is about 11624.3244965030. The cubic root of 135124920 is about 513.1509649973.

The spelling of 135124920 in words is "one hundred thirty-five million, one hundred twenty-four thousand, nine hundred twenty".