151788939201 has 45 divisors (see below), whose sum is σ = 230283440409. Its totient is φ = 99638118144.

The previous prime is 151788939199. The next prime is 151788939217. The reversal of 151788939201 is 102939887151.

The square root of 151788939201 is 389601.

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

151788939201 is a `hidden beast` number, since 1 + 5 + 178 + 89 + 392 + 0 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 5069297601 + 146719641600 = 71199^2 + 383040^2 .

It is not a de Polignac number, because 151788939201 - 2¹ = 151788939199 is a prime.

It is not an unprimeable number, because it can be changed into a prime (151788939221) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 255967561 + ... + 255968153.

Almost surely, 2^151788939201 is an apocalyptic number.

151788939201 is the 389601-st square number.

151788939201 is the 194801-st centered octagonal number.

It is an amenable number.

151788939201 is a deficient number, since it is larger than the sum of its proper divisors (78494501208).

151788939201 is an frugal number, since it uses more digits than its factorization.

151788939201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1344 (or 669 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 54.

The spelling of 151788939201 in words is "one hundred fifty-one billion, seven hundred eighty-eight million, nine hundred thirty-nine thousand, two hundred one".