75106691136 has 189 divisors, whose sum is σ = 227585302893. Its totient is φ = 23678438400.

The previous prime is 75106691081. The next prime is 75106691137. The reversal of 75106691136 is 63119660157.

The square root of 75106691136 is 274056.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 63129577536 + 11977113600 = 251256^2 + 109440^2 .

It is a junction number, because it is equal to n+sod(n) for n = 75106691091 and 75106691100.

It is not an unprimeable number, because it can be changed into a prime (75106691137) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 124969236 + ... + 124969836.

Almost surely, 2^75106691136 is an apocalyptic number.

75106691136 is a gapful number since it is divisible by the number (76) formed by its first and last digit.

75106691136 is the 274056-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 75106691136

75106691136 is an abundant number, since it is smaller than the sum of its proper divisors (152478611757).

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

75106691136 is an equidigital number, since it uses as much as digits as its factorization.

75106691136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1258 (or 625 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 45.

The spelling of 75106691136 in words is "seventy-five billion, one hundred six million, six hundred ninety-one thousand, one hundred thirty-six".