755136525312 has 1760 divisors, whose sum is σ = 2796287155200. Its totient is φ = 200658124800.

The previous prime is 755136525301. The next prime is 755136525337. The reversal of 755136525312 is 213525631557.

755136525312 is a `hidden beast` number, since 7 + 5 + 51 + 3 + 65 + 2 + 531 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 18417964012 + ... + 18417964052.

It is an arithmetic number, because the mean of its divisors is an integer number (1588799520).

Almost surely, 2^755136525312 is an apocalyptic number.

755136525312 is a gapful number since it is divisible by the number (72) 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 755136525312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1398143577600).

755136525312 is an abundant number, since it is smaller than the sum of its proper divisors (2041150629888).

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

755136525312 is a wasteful number, since it uses less digits than its factorization.

755136525312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 138 counting only the distinct ones).

The product of its digits is 945000, while the sum is 45.

The spelling of 755136525312 in words is "seven hundred fifty-five billion, one hundred thirty-six million, five hundred twenty-five thousand, three hundred twelve".