152082000 has 480 divisors, whose sum is σ = 651815424. Its totient is φ = 32256000.

The previous prime is 152081933. The next prime is 152082037. The reversal of 152082000 is 280251.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2141965 + ... + 2142035.

Almost surely, 2^152082000 is an apocalyptic number.

152082000 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 152082000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325907712).

152082000 is an abundant number, since it is smaller than the sum of its proper divisors (499733424).

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

152082000 is a wasteful number, since it uses less digits than its factorization.

152082000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 152082000 is about 12332.1530966819. The cubic root of 152082000 is about 533.7762813232.

The spelling of 152082000 in words is "one hundred fifty-two million, eighty-two thousand".