128552742 has 96 divisors (see below), whose sum is σ = 307105344. Its totient is φ = 38707200.

The previous prime is 128552731. The next prime is 128552761. The reversal of 128552742 is 247255821.

It is a happy number.

128552742 is a `hidden beast` number, since 12 + 85 + 527 + 42 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 128552697 and 128552706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1325238 + ... + 1325334.

It is an arithmetic number, because the mean of its divisors is an integer number (3199014).

Almost surely, 2^128552742 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 128552742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153552672).

128552742 is an abundant number, since it is smaller than the sum of its proper divisors (178552602).

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

128552742 is a wasteful number, since it uses less digits than its factorization.

128552742 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254 (or 251 counting only the distinct ones).

The product of its digits is 44800, while the sum is 36.

The square root of 128552742 is about 11338.1101599870. The cubic root of 128552742 is about 504.6928066684.

The spelling of 128552742 in words is "one hundred twenty-eight million, five hundred fifty-two thousand, seven hundred forty-two".