75525138738 has 144 divisors (see below), whose sum is σ = 206837879040. Its totient is φ = 19783310400.

The previous prime is 75525138727. The next prime is 75525138739. The reversal of 75525138738 is 83783152557.

75525138738 is a `hidden beast` number, since 7 + 5 + 5 + 251 + 387 + 3 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (75525138739) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 446808 + ... + 592188.

It is an arithmetic number, because the mean of its divisors is an integer number (1436374160).

Almost surely, 2^75525138738 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 75525138738, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103418939520).

75525138738 is an abundant number, since it is smaller than the sum of its proper divisors (131312740302).

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

75525138738 is a wasteful number, since it uses less digits than its factorization.

75525138738 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145453 (or 145443 counting only the distinct ones).

The product of its digits is 7056000, while the sum is 54.

The spelling of 75525138738 in words is "seventy-five billion, five hundred twenty-five million, one hundred thirty-eight thousand, seven hundred thirty-eight".