146952000 has 336 divisors, whose sum is σ = 569713872. Its totient is φ = 35942400.

The previous prime is 146951999. The next prime is 146952031. The reversal of 146952000 is 259641.

It can be written as a sum of positive squares in 8 ways, for example, as 91240704 + 55711296 = 9552^2 + 7464^2 .

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 935922 + ... + 936078.

It is an arithmetic number, because the mean of its divisors is an integer number (1695577).

Almost surely, 2^146952000 is an apocalyptic number.

146952000 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 146952000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284856936).

146952000 is an abundant number, since it is smaller than the sum of its proper divisors (422761872).

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

146952000 is a wasteful number, since it uses less digits than its factorization.

146952000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 146952000 is about 12122.3760047278. The cubic root of 146952000 is about 527.7057589223.

The spelling of 146952000 in words is "one hundred forty-six million, nine hundred fifty-two thousand".