155664000 has 384 divisors, whose sum is σ = 595745280. Its totient is φ = 38860800.

The previous prime is 155663987. The next prime is 155664001. The reversal of 155664000 is 466551.

It is a happy number.

155664000 is a `hidden beast` number, since 15 + 5 + 6 + 640 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (155664001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3311977 + ... + 3312023.

It is an arithmetic number, because the mean of its divisors is an integer number (1551420).

Almost surely, 2^155664000 is an apocalyptic number.

155664000 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 155664000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297872640).

155664000 is an abundant number, since it is smaller than the sum of its proper divisors (440081280).

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

155664000 is a wasteful number, since it uses less digits than its factorization.

155664000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 155664000 is about 12476.5379813472. The cubic root of 155664000 is about 537.9344963390.

It can be divided in two parts, 1556 and 64000, that added together give a palindrome (65556).

The spelling of 155664000 in words is "one hundred fifty-five million, six hundred sixty-four thousand".