155325600 has 432 divisors, whose sum is σ = 614210688. Its totient is φ = 38154240.

The previous prime is 155325571. The next prime is 155325607. The reversal of 155325600 is 6523551.

155325600 is a `hidden beast` number, since 1 + 5 + 53 + 2 + 5 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (155325607) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3304777 + ... + 3304823.

It is an arithmetic number, because the mean of its divisors is an integer number (1421784).

Almost surely, 2^155325600 is an apocalyptic number.

155325600 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 155325600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307105344).

155325600 is an abundant number, since it is smaller than the sum of its proper divisors (458885088).

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

155325600 is a wasteful number, since it uses less digits than its factorization.

155325600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 27.

The square root of 155325600 is about 12462.9691486419. The cubic root of 155325600 is about 537.5444059220.

The spelling of 155325600 in words is "one hundred fifty-five million, three hundred twenty-five thousand, six hundred".