155328000 has 160 divisors (see below), whose sum is σ = 517065120. Its totient is φ = 41369600.

The previous prime is 155327989. The next prime is 155328007. The reversal of 155328000 is 823551.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (155328007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 191596 + ... + 192404.

It is an arithmetic number, because the mean of its divisors is an integer number (3231657).

Almost surely, 2^155328000 is an apocalyptic number.

155328000 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 155328000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258532560).

155328000 is an abundant number, since it is smaller than the sum of its proper divisors (361737120).

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

155328000 is an frugal number, since it uses more digits than its factorization.

155328000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 845 (or 819 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 155328000 is about 12463.0654335119. The cubic root of 155328000 is about 537.5471745147.

It can be divided in two parts, 15532 and 8000, that added together give a palindrome (23532).

The spelling of 155328000 in words is "one hundred fifty-five million, three hundred twenty-eight thousand".