75106349136 has 960 divisors, whose sum is σ = 289794785280. Its totient is φ = 17602375680.

The previous prime is 75106349111. The next prime is 75106349137. The reversal of 75106349136 is 63194360157.

It is a happy number.

75106349136 is a `hidden beast` number, since 7 + 5 + 1 + 0 + 634 + 9 + 1 + 3 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 75106349091 and 75106349100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75106349137) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 285575341 + ... + 285575603.

It is an arithmetic number, because the mean of its divisors is an integer number (301869568).

Almost surely, 2^75106349136 is an apocalyptic number.

75106349136 is a gapful number since it is divisible by the number (76) 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 75106349136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144897392640).

75106349136 is an abundant number, since it is smaller than the sum of its proper divisors (214688436144).

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

75106349136 is a wasteful number, since it uses less digits than its factorization.

75106349136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 384 (or 375 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The spelling of 75106349136 in words is "seventy-five billion, one hundred six million, three hundred forty-nine thousand, one hundred thirty-six".