153561600 has 360 divisors, whose sum is σ = 580474752. Its totient is φ = 38707200.

The previous prime is 153561599. The next prime is 153561613. The reversal of 153561600 is 6165351.

It is a happy number.

153561600 is a `hidden beast` number, since 1 + 5 + 3 + 56 + 1 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3571179 + ... + 3571221.

Almost surely, 2^153561600 is an apocalyptic number.

153561600 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 153561600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290237376).

153561600 is an abundant number, since it is smaller than the sum of its proper divisors (426913152).

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

153561600 is a wasteful number, since it uses less digits than its factorization.

153561600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The square root of 153561600 is about 12391.9974176886. The cubic root of 153561600 is about 535.5017274828.

The spelling of 153561600 in words is "one hundred fifty-three million, five hundred sixty-one thousand, six hundred".