157355815761 has 27 divisors (see below), whose sum is σ = 237644982939. Its totient is φ = 100325385072.

The previous prime is 157355815709. The next prime is 157355815783. The reversal of 157355815761 is 167518553751.

It is a happy number.

The square root of 157355815761 is 396681.

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

157355815761 is a `hidden beast` number, since 1 + 5 + 7 + 3 + 5 + 581 + 57 + 6 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2670925761 + 154684890000 = 51681^2 + 393300^2 .

It is a de Polignac number, because none of the positive numbers 2^k-157355815761 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 157355815698 and 157355815707.

It is not an unprimeable number, because it can be changed into a prime (157355815261) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 27368115 + ... + 27373863.

Almost surely, 2^157355815761 is an apocalyptic number.

157355815761 is the 396681-st square number.

157355815761 is the 198341-st centered octagonal number.

It is an amenable number.

157355815761 is a deficient number, since it is larger than the sum of its proper divisors (80289167178).

157355815761 is an frugal number, since it uses more digits than its factorization.

157355815761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11550 (or 5775 counting only the distinct ones).

The product of its digits is 4410000, while the sum is 54.

The spelling of 157355815761 in words is "one hundred fifty-seven billion, three hundred fifty-five million, eight hundred fifteen thousand, seven hundred sixty-one".