201552000 has 512 divisors, whose sum is σ = 801964800. Its totient is φ = 44236800.

The previous prime is 201551963. The next prime is 201552011. The reversal of 201552000 is 255102.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10607991 + ... + 10608009.

Almost surely, 2^201552000 is an apocalyptic number.

201552000 is a gapful number since it is divisible by the number (20) 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 201552000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (400982400).

201552000 is an abundant number, since it is smaller than the sum of its proper divisors (600412800).

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

201552000 is a wasteful number, since it uses less digits than its factorization.

201552000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 15.

The square root of 201552000 is about 14196.9010703040. The cubic root of 201552000 is about 586.3123434381.

It can be divided in two parts, 20155 and 2000, that added together give a triangular number (22155 = T₂₁₀).

The spelling of 201552000 in words is "two hundred one million, five hundred fifty-two thousand".