151593422500 has 135 divisors (see below), whose sum is σ = 359566683861. Its totient is φ = 55879512000.

The previous prime is 151593422467. The next prime is 151593422507. The reversal of 151593422500 is 5224395151.

The square root of 151593422500 is 389350.

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

It can be written as a sum of positive squares in 7 ways, for example, as 149733398116 + 1860024384 = 386954^2 + 43128^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 151593422500.

It is not an unprimeable number, because it can be changed into a prime (151593422507) 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 44 ways as a sum of consecutive naturals, for example, 253077201 + ... + 253077799.

Almost surely, 2^151593422500 is an apocalyptic number.

151593422500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

151593422500 is the 389350-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 151593422500

151593422500 is an abundant number, since it is smaller than the sum of its proper divisors (207973261361).

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

151593422500 is an frugal number, since it uses more digits than its factorization.

151593422500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1248 (or 619 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 37.

The spelling of 151593422500 in words is "one hundred fifty-one billion, five hundred ninety-three million, four hundred twenty-two thousand, five hundred".