153564400 has 120 divisors (see below), whose sum is σ = 426361104. Its totient is φ = 52531200.

The previous prime is 153564379. The next prime is 153564407. The reversal of 153564400 is 4465351.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (153564407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 73774 + ... + 75826.

Almost surely, 2^153564400 is an apocalyptic number.

153564400 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 153564400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213180552).

153564400 is an abundant number, since it is smaller than the sum of its proper divisors (272796704).

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

153564400 is a wasteful number, since it uses less digits than its factorization.

153564400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2099 (or 2088 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 28.

The square root of 153564400 is about 12392.1103933107. The cubic root of 153564400 is about 535.5049821935.

The spelling of 153564400 in words is "one hundred fifty-three million, five hundred sixty-four thousand, four hundred".