152056000 has 112 divisors (see below), whose sum is σ = 382767840. Its totient is φ = 59827200.

The previous prime is 152055989. The next prime is 152056001. The reversal of 152056000 is 650251.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152056001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 663886 + ... + 664114.

It is an arithmetic number, because the mean of its divisors is an integer number (3417570).

Almost surely, 2^152056000 is an apocalyptic number.

152056000 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 152056000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191383920).

152056000 is an abundant number, since it is smaller than the sum of its proper divisors (230711840).

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

152056000 is an equidigital number, since it uses as much as digits as its factorization.

152056000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339 (or 319 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 19.

The square root of 152056000 is about 12331.0988966921. The cubic root of 152056000 is about 533.7458613869.

The spelling of 152056000 in words is "one hundred fifty-two million, fifty-six thousand".