157945040929 has 27 divisors (see below), whose sum is σ = 180616803993. Its totient is φ = 138036135744.

The previous prime is 157945040899. The next prime is 157945041011. The reversal of 157945040929 is 929040549751.

It is a happy number.

The square root of 157945040929 is 397423.

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

It can be written as a sum of positive squares in 4 ways, for example, as 9297780625 + 148647260304 = 96425^2 + 385548^2 .

It is not a de Polignac number, because 157945040929 - 2²⁵ = 157911486497 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 157945040929.

It is not an unprimeable number, because it can be changed into a prime (157945040129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 98162677 + ... + 98164285.

It is an arithmetic number, because the mean of its divisors is an integer number (6689511259).

Almost surely, 2^157945040929 is an apocalyptic number.

157945040929 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

157945040929 is the 397423-rd square number.

157945040929 is the 198712-nd centered octagonal number.

It is an amenable number.

157945040929 is a deficient number, since it is larger than the sum of its proper divisors (22671763064).

157945040929 is an frugal number, since it uses more digits than its factorization.

157945040929 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3282 (or 1641 counting only the distinct ones).

The product of its (nonzero) digits is 4082400, while the sum is 55.

The spelling of 157945040929 in words is "one hundred fifty-seven billion, nine hundred forty-five million, forty thousand, nine hundred twenty-nine".