146032320 has 224 divisors, whose sum is σ = 547762176. Its totient is φ = 32256000.

The previous prime is 146032319. The next prime is 146032333. The reversal of 146032320 is 23230641.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 207970 + ... + 208670.

Almost surely, 2^146032320 is an apocalyptic number.

146032320 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 146032320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273881088).

146032320 is an abundant number, since it is smaller than the sum of its proper divisors (401729856).

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

146032320 is a wasteful number, since it uses less digits than its factorization.

146032320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 759 (or 749 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 146032320 is about 12084.3833107031. The cubic root of 146032320 is about 526.6025950649.

Adding to 146032320 its reverse (23230641), we get a palindrome (169262961).

The spelling of 146032320 in words is "one hundred forty-six million, thirty-two thousand, three hundred twenty".