151591865104 has 135 divisors (see below), whose sum is σ = 319649207157. Its totient is φ = 69634111104.

The previous prime is 151591865093. The next prime is 151591865147. The reversal of 151591865104 is 401568195151.

The square root of 151591865104 is 389348.

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

It can be written as a sum of positive squares in only one way, i.e., 105658802704 + 45933062400 = 325052^2 + 214320^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1390751002 + ... + 1390751110.

Almost surely, 2^151591865104 is an apocalyptic number.

151591865104 is the 389348-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 151591865104

151591865104 is an abundant number, since it is smaller than the sum of its proper divisors (168057342053).

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

151591865104 is an equidigital number, since it uses as much as digits as its factorization.

151591865104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 358 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 216000, while the sum is 46.

The spelling of 151591865104 in words is "one hundred fifty-one billion, five hundred ninety-one million, eight hundred sixty-five thousand, one hundred four".