75157674201 has 45 divisors (see below), whose sum is σ = 113952047781. Its totient is φ = 49366558728.

The previous prime is 75157674191. The next prime is 75157674217. The reversal of 75157674201 is 10247675157.

The square root of 75157674201 is 274149.

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

75157674201 is a `hidden beast` number, since 7 + 5 + 1 + 576 + 74 + 2 + 0 + 1 = 666.

It is not a de Polignac number, because 75157674201 - 2⁷ = 75157674073 is a prime.

It is not an unprimeable number, because it can be changed into a prime (75157674301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 204789120 + ... + 204789486.

Almost surely, 2^75157674201 is an apocalyptic number.

75157674201 is the 274149-th square number.

75157674201 is the 137075-th centered octagonal number.

It is an amenable number.

75157674201 is a deficient number, since it is larger than the sum of its proper divisors (38794373580).

75157674201 is an frugal number, since it uses more digits than its factorization.

75157674201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 912 (or 453 counting only the distinct ones).

The product of its (nonzero) digits is 411600, while the sum is 45.

The spelling of 75157674201 in words is "seventy-five billion, one hundred fifty-seven million, six hundred seventy-four thousand, two hundred one".