153090647824 has 45 divisors (see below), whose sum is σ = 307284961503. Its totient is φ = 73883918976.

The previous prime is 153090647821. The next prime is 153090647833. The reversal of 153090647824 is 428746090351.

It is a happy number.

The square root of 153090647824 is 391268.

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

It can be written as a sum of positive squares in 4 ways, for example, as 64505840400 + 88584807424 = 253980^2 + 297632^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (153090647821) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 45385402 + ... + 45388774.

It is a 1-persistent number, because it is pandigital, but 2⋅153090647824 = 306181295648 is not.

Almost surely, 2^153090647824 is an apocalyptic number.

153090647824 is the 391268-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 153090647824

153090647824 is an abundant number, since it is smaller than the sum of its proper divisors (154194313679).

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

153090647824 is an frugal number, since it uses more digits than its factorization.

153090647824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6812 (or 3404 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 49.

Multiplying 153090647824 by its sum of digits (49), we get a square (7501441743376 = 2738876²).

The spelling of 153090647824 in words is "one hundred fifty-three billion, ninety million, six hundred forty-seven thousand, eight hundred twenty-four".