151509334564 has 27 divisors (see below), whose sum is σ = 308440810587. Its totient is φ = 64930236504.

The previous prime is 151509334553. The next prime is 151509334567. The reversal of 151509334564 is 465433905151.

The square root of 151509334564 is 389242.

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

It is not an unprimeable number, because it can be changed into a prime (151509334567) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 5435487 + ... + 5463289.

Almost surely, 2^151509334564 is an apocalyptic number.

151509334564 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

151509334564 is the 389242-nd square number.

It is an amenable number.

151509334564 is an abundant number, since it is smaller than the sum of its proper divisors (156931476023).

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

151509334564 is an frugal number, since it uses more digits than its factorization.

151509334564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55624 (or 27812 counting only the distinct ones).

The product of its (nonzero) digits is 972000, while the sum is 46.

The spelling of 151509334564 in words is "one hundred fifty-one billion, five hundred nine million, three hundred thirty-four thousand, five hundred sixty-four".