756142128 has 250 divisors, whose sum is σ = 2563598444. Its totient is φ = 216040608.

The previous prime is 756142109. The next prime is 756142141. The reversal of 756142128 is 821241657.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

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

Its product of digits (26880) is a multiple of the sum of its prime divisors (12).

It is a junction number, because it is equal to n+sod(n) for n = 756142092 and 756142101.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 49 ways as a sum of consecutive naturals, for example, 108020301 + ... + 108020307.

Almost surely, 2^756142128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 756142128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1281799222).

756142128 is an abundant number, since it is smaller than the sum of its proper divisors (1807456316).

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

756142128 is an frugal number, since it uses more digits than its factorization.

756142128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63 (or 12 counting only the distinct ones).

The product of its digits is 26880, while the sum is 36.

The square root of 756142128 is about 27498.0386209635. The cubic root of 756142128 is about 911.0337758582.

It can be divided in two parts, 756 and 142128, that added together give a square (142884 = 378²).

The spelling of 756142128 in words is "seven hundred fifty-six million, one hundred forty-two thousand, one hundred twenty-eight".