150552000 has 448 divisors, whose sum is σ = 599114880. Its totient is φ = 36864000.

The previous prime is 150551981. The next prime is 150552007. The reversal of 150552000 is 255051.

150552000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (150552007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3671980 + ... + 3672020.

It is an arithmetic number, because the mean of its divisors is an integer number (1337310).

Almost surely, 2^150552000 is an apocalyptic number.

150552000 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 150552000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299557440).

150552000 is an abundant number, since it is smaller than the sum of its proper divisors (448562880).

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

150552000 is a wasteful number, since it uses less digits than its factorization.

150552000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 250, while the sum is 18.

The square root of 150552000 is about 12269.9633251286. The cubic root of 150552000 is about 531.9802506472.

The spelling of 150552000 in words is "one hundred fifty million, five hundred fifty-two thousand".