157634980546729 has 9 divisors (see below), whose sum is σ = 183371406137181. Its totient is φ = 135115622279820.

The previous prime is 157634980546697. The next prime is 157634980546733. The reversal of 157634980546729 is 927645089436751.

The square root of 157634980546729 is 12555277.

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

It is not a de Polignac number, because 157634980546729 - 2⁵ = 157634980546697 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (157634980546129) 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 8 ways as a sum of consecutive naturals, for example, 86990134 + ... + 88783744.

It is an arithmetic number, because the mean of its divisors is an integer number (20374600681909).

It is a 1-persistent number, because it is pandigital, but 2⋅157634980546729 = 315269961093458 is not.

Almost surely, 2^{157634980546729} is an apocalyptic number.

157634980546729 is the 12555277-th square number.

157634980546729 is the 6277639-th centered octagonal number.

It is an amenable number.

157634980546729 is a deficient number, since it is larger than the sum of its proper divisors (25736425590452).

157634980546729 is an frugal number, since it uses more digits than its factorization.

157634980546729 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3587236 (or 1793618 counting only the distinct ones).

The product of its (nonzero) digits is 2743372800, while the sum is 76.

The spelling of 157634980546729 in words is "one hundred fifty-seven trillion, six hundred thirty-four billion, nine hundred eighty million, five hundred forty-six thousand, seven hundred twenty-nine".