153852217600 has 81 divisors (see below), whose sum is σ = 380885962233. Its totient is φ = 61528335360.

The previous prime is 153852217567. The next prime is 153852217613. The reversal of 153852217600 is 6712258351.

The square root of 153852217600 is 392240.

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

153852217600 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 only one way, i.e., 55386798336 + 98465419264 = 235344^2 + 313792^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 31376749 + ... + 31381651.

Almost surely, 2^153852217600 is an apocalyptic number.

153852217600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

153852217600 is the 392240-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 153852217600

153852217600 is an abundant number, since it is smaller than the sum of its proper divisors (227033744633).

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

153852217600 is an frugal number, since it uses more digits than its factorization.

153852217600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9832 (or 4910 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 40.

The spelling of 153852217600 in words is "one hundred fifty-three billion, eight hundred fifty-two million, two hundred seventeen thousand, six hundred".