75146952192 has 320 divisors, whose sum is σ = 225734885376. Its totient is φ = 22056468480.

The previous prime is 75146952149. The next prime is 75146952227. The reversal of 75146952192 is 29125964157.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 45186753 + ... + 45188415.

Almost surely, 2^75146952192 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 75146952192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112867442688).

75146952192 is an abundant number, since it is smaller than the sum of its proper divisors (150587933184).

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

75146952192 is a wasteful number, since it uses less digits than its factorization.

75146952192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1801 (or 1785 counting only the distinct ones).

The product of its digits is 1360800, while the sum is 51.

The spelling of 75146952192 in words is "seventy-five billion, one hundred forty-six million, nine hundred fifty-two thousand, one hundred ninety-two".