157737814001 has 2 divisors, whose sum is σ = 157737814002. Its totient is φ = 157737814000.

The previous prime is 157737813967. The next prime is 157737814033. The reversal of 157737814001 is 100418737751.

157737814001 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., 87586994401 + 70150819600 = 295951^2 + 264860^2 .

It is a cyclic number.

It is not a de Polignac number, because 157737814001 - 2²² = 157733619697 is a prime.

It is not a weakly prime, because it can be changed into another prime (157737814501) 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, 78868907000 + 78868907001.

It is an arithmetic number, because the mean of its divisors is an integer number (78868907001).

Almost surely, 2^157737814001 is an apocalyptic number.

It is an amenable number.

157737814001 is a deficient number, since it is larger than the sum of its proper divisors (1).

157737814001 is an equidigital number, since it uses as much as digits as its factorization.

157737814001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 164640, while the sum is 44.

The spelling of 157737814001 in words is "one hundred fifty-seven billion, seven hundred thirty-seven million, eight hundred fourteen thousand, one".