135925128 has 80 divisors (see below), whose sum is σ = 388903680. Its totient is φ = 44334432.

The previous prime is 135925123. The next prime is 135925177. The reversal of 135925128 is 821529531.

135925128 is a `hidden beast` number, since 13 + 592 + 51 + 2 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 135925092 and 135925101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135925123) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 28225 + ... + 32687.

It is an arithmetic number, because the mean of its divisors is an integer number (4861296).

Almost surely, 2^135925128 is an apocalyptic number.

135925128 is a gapful number since it is divisible by the number (18) 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 135925128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194451840).

135925128 is an abundant number, since it is smaller than the sum of its proper divisors (252978552).

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

135925128 is a wasteful number, since it uses less digits than its factorization.

135925128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4528 (or 4515 counting only the distinct ones).

The product of its digits is 21600, while the sum is 36.

The square root of 135925128 is about 11658.6932372372. The cubic root of 135925128 is about 514.1619297322.

The spelling of 135925128 in words is "one hundred thirty-five million, nine hundred twenty-five thousand, one hundred twenty-eight".