146308032 has 210 divisors, whose sum is σ = 472443048. Its totient is φ = 44748288.

The previous prime is 146308021. The next prime is 146308087. The reversal of 146308032 is 230803641.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 146307987 and 146308005.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 876013 + ... + 876179.

Almost surely, 2^146308032 is an apocalyptic number.

146308032 is a gapful number since it is divisible by the number (12) 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 146308032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236221524).

146308032 is an abundant number, since it is smaller than the sum of its proper divisors (326135016).

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

146308032 is a wasteful number, since it uses less digits than its factorization.

146308032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 146308032 is about 12095.7857123876. The cubic root of 146308032 is about 526.9337988608.

The spelling of 146308032 in words is "one hundred forty-six million, three hundred eight thousand, thirty-two".