151493087520 has 144 divisors (see below), whose sum is σ = 520744344120. Its totient is φ = 40103227392.

The previous prime is 151493087437. The next prime is 151493087561. The reversal of 151493087520 is 25780394151.

151493087520 is a `hidden beast` number, since 1 + 5 + 1 + 49 + 3 + 0 + 87 + 520 = 666.

151493087520 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 128161136016 + 23331951504 = 357996^2 + 152748^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 186675 + ... + 581234.

Almost surely, 2^151493087520 is an apocalyptic number.

151493087520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

151493087520 is an abundant number, since it is smaller than the sum of its proper divisors (369251256600).

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

151493087520 is a wasteful number, since it uses less digits than its factorization.

151493087520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 768067 (or 768056 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The spelling of 151493087520 in words is "one hundred fifty-one billion, four hundred ninety-three million, eighty-seven thousand, five hundred twenty".