153728053200 has 300 divisors, whose sum is σ = 575708161248. Its totient is φ = 39211603200.

The previous prime is 153728053153. The next prime is 153728053231. The reversal of 153728053200 is 2350827351.

It is a happy number.

153728053200 is a `hidden beast` number, since 1 + 5 + 372 + 80 + 5 + 3 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (300).

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 (23) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 642055 + ... + 848345.

Almost surely, 2^153728053200 is an apocalyptic number.

153728053200 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 153728053200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287854080624).

153728053200 is an abundant number, since it is smaller than the sum of its proper divisors (421980108048).

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

153728053200 is a wasteful number, since it uses less digits than its factorization.

153728053200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206344 (or 206324 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The spelling of 153728053200 in words is "one hundred fifty-three billion, seven hundred twenty-eight million, fifty-three thousand, two hundred".