153648025200 has 540 divisors, whose sum is σ = 562117537800. Its totient is φ = 40302696960.

The previous prime is 153648025189. The next prime is 153648025217. The reversal of 153648025200 is 2520846351.

153648025200 is a `hidden beast` number, since 1 + 5 + 3 + 648 + 0 + 2 + 5 + 2 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (540).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 107 ways as a sum of consecutive naturals, for example, 1031194726 + ... + 1031194874.

Almost surely, 2^153648025200 is an apocalyptic number.

153648025200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 153648025200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281058768900).

153648025200 is an abundant number, since it is smaller than the sum of its proper divisors (408469512600).

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

153648025200 is a wasteful number, since it uses less digits than its factorization.

153648025200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 388 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 153648025200 in words is "one hundred fifty-three billion, six hundred forty-eight million, twenty-five thousand, two hundred".