157115518884 has 225 divisors, whose sum is σ = 440773093761. Its totient is φ = 48802059360.

The previous prime is 157115518871. The next prime is 157115518913. The reversal of 157115518884 is 488815511751.

The square root of 157115518884 is 396378.

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

157115518884 is a `hidden beast` number, since 1 + 5 + 7 + 1 + 1 + 551 + 8 + 8 + 84 = 666.

It can be written as a sum of positive squares in only one way, i.e., 5109104484 + 152006414400 = 71478^2 + 389880^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 157115518884.

It is an unprimeable number.

It is a polite number, since it can be written in 74 ways as a sum of consecutive naturals, for example, 2575664214 + ... + 2575664274.

Almost surely, 2^157115518884 is an apocalyptic number.

157115518884 is the 396378-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 157115518884

157115518884 is an abundant number, since it is smaller than the sum of its proper divisors (283657574877).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

157115518884 is an frugal number, since it uses more digits than its factorization.

157115518884 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 85 counting only the distinct ones).

The product of its digits is 1792000, while the sum is 54.

The spelling of 157115518884 in words is "one hundred fifty-seven billion, one hundred fifteen million, five hundred eighteen thousand, eight hundred eighty-four".