146964000 has 192 divisors, whose sum is σ = 495960192. Its totient is φ = 38016000.

The previous prime is 146963987. The next prime is 146964001. The reversal of 146964000 is 469641.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (146964001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 443835 + ... + 444165.

It is an arithmetic number, because the mean of its divisors is an integer number (2583126).

Almost surely, 2^146964000 is an apocalyptic number.

146964000 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 146964000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247980096).

146964000 is an abundant number, since it is smaller than the sum of its proper divisors (348996192).

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

146964000 is a wasteful number, since it uses less digits than its factorization.

146964000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 396 (or 378 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 146964000 is about 12122.8709470983. The cubic root of 146964000 is about 527.7201225621.

The spelling of 146964000 in words is "one hundred forty-six million, nine hundred sixty-four thousand".