152829000 has 96 divisors (see below), whose sum is σ = 516592440. Its totient is φ = 40752000.

The previous prime is 152828983. The next prime is 152829011. The reversal of 152829000 is 928251.

152829000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 93199716 + 59629284 = 9654^2 + 7722^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 510 + ... + 17490.

Almost surely, 2^152829000 is an apocalyptic number.

152829000 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 152829000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258296220).

152829000 is an abundant number, since it is smaller than the sum of its proper divisors (363763440).

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

152829000 is a wasteful number, since it uses less digits than its factorization.

152829000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17008 (or 16991 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 152829000 is about 12362.4026790911. The cubic root of 152829000 is about 534.6487927005.

The spelling of 152829000 in words is "one hundred fifty-two million, eight hundred twenty-nine thousand".