75137989257 has 80 divisors (see below), whose sum is σ = 123082787520. Its totient is φ = 45491217408.

The previous prime is 75137989211. The next prime is 75137989273. The reversal of 75137989257 is 75298973157.

75137989257 is a `hidden beast` number, since 7 + 5 + 1 + 379 + 8 + 9 + 257 = 666.

It is not a de Polignac number, because 75137989257 - 2¹⁵ = 75137956489 is a prime.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

Its product of digits (33339600) is a multiple of the sum of its prime divisors (15435).

It is a junction number, because it is equal to n+sod(n) for n = 75137989194 and 75137989203.

It is not an unprimeable number, because it can be changed into a prime (75137989207) 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 79 ways as a sum of consecutive naturals, for example, 4906869 + ... + 4922157.

It is an arithmetic number, because the mean of its divisors is an integer number (1538534844).

Almost surely, 2^75137989257 is an apocalyptic number.

It is an amenable number.

75137989257 is a deficient number, since it is larger than the sum of its proper divisors (47944798263).

75137989257 is a wasteful number, since it uses less digits than its factorization.

75137989257 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15444 (or 15435 counting only the distinct ones).

The product of its digits is 33339600, while the sum is 63.

The spelling of 75137989257 in words is "seventy-five billion, one hundred thirty-seven million, nine hundred eighty-nine thousand, two hundred fifty-seven".