157753070141 has 2 divisors, whose sum is σ = 157753070142. Its totient is φ = 157753070140.

The previous prime is 157753070087. The next prime is 157753070177. The reversal of 157753070141 is 141070357751.

157753070141 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 84282799225 + 73470270916 = 290315^2 + 271054^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-157753070141 is a prime.

It is a super-3 number, since 3×157753070141³ (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (157753070191) 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 as a sum of consecutive naturals, namely, 78876535070 + 78876535071.

It is an arithmetic number, because the mean of its divisors is an integer number (78876535071).

Almost surely, 2^157753070141 is an apocalyptic number.

It is an amenable number.

157753070141 is a deficient number, since it is larger than the sum of its proper divisors (1).

157753070141 is an equidigital number, since it uses as much as digits as its factorization.

157753070141 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 102900, while the sum is 41.

The spelling of 157753070141 in words is "one hundred fifty-seven billion, seven hundred fifty-three million, seventy thousand, one hundred forty-one".