135952128 has 288 divisors, whose sum is σ = 463579200. Its totient is φ = 38928384.

The previous prime is 135952123. The next prime is 135952133. The reversal of 135952128 is 821259531.

It is an interprime number because it is at equal distance from previous prime (135952123) and next prime (135952133).

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×135952128² = 36965962215456768, which contains 22 as substring.

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

Its product of digits (21600) is a multiple of the sum of its prime factors (144).

It is a junction number, because it is equal to n+sod(n) for n = 135952092 and 135952101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135952123) 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, 1527508 + ... + 1527596.

It is an arithmetic number, because the mean of its divisors is an integer number (1609650).

Almost surely, 2^135952128 is an apocalyptic number.

135952128 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 135952128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231789600).

135952128 is an abundant number, since it is smaller than the sum of its proper divisors (327627072).

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

135952128 is a wasteful number, since it uses less digits than its factorization.

135952128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 124 counting only the distinct ones).

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

The square root of 135952128 is about 11659.8511139723. The cubic root of 135952128 is about 514.1959716424.

The spelling of 135952128 in words is "one hundred thirty-five million, nine hundred fifty-two thousand, one hundred twenty-eight".