150852000 has 192 divisors, whose sum is σ = 532756224. Its totient is φ = 37094400.

The previous prime is 150851993. The next prime is 150852007. The reversal of 150852000 is 258051.

150852000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (150851993) and next prime (150852007).

It is not an unprimeable number, because it can be changed into a prime (150852007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 155517 + ... + 156483.

It is an arithmetic number, because the mean of its divisors is an integer number (2774772).

Almost surely, 2^150852000 is an apocalyptic number.

150852000 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 150852000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266378112).

150852000 is an abundant number, since it is smaller than the sum of its proper divisors (381904224).

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

150852000 is a wasteful number, since it uses less digits than its factorization.

150852000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1008 (or 990 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 21.

The square root of 150852000 is about 12282.1822165281. The cubic root of 150852000 is about 532.3333693624. Note that the first 4 decimals are identical.

The spelling of 150852000 in words is "one hundred fifty million, eight hundred fifty-two thousand".