156852000 has 144 divisors (see below), whose sum is σ = 556795512. Its totient is φ = 41817600.

The previous prime is 156851969. The next prime is 156852001. The reversal of 156852000 is 258651.

It can be written as a sum of positive squares in 4 ways, for example, as 103795344 + 53056656 = 10188^2 + 7284^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (156852001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33822 + ... + 38178.

Almost surely, 2^156852000 is an apocalyptic number.

156852000 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 156852000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278397756).

156852000 is an abundant number, since it is smaller than the sum of its proper divisors (399943512).

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

156852000 is a wasteful number, since it uses less digits than its factorization.

156852000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4388 (or 4367 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 156852000 is about 12524.0568507173. The cubic root of 156852000 is about 539.2995032197.

The spelling of 156852000 in words is "one hundred fifty-six million, eight hundred fifty-two thousand".