146096832 has 168 divisors, whose sum is σ = 459705456. Its totient is φ = 40814592.

The previous prime is 146096807. The next prime is 146096857. The reversal of 146096832 is 238690641.

It is an interprime number because it is at equal distance from previous prime (146096807) and next prime (146096857).

It is a tau number, because it is divible by the number of its divisors (168).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 498478 + ... + 498770.

It is an arithmetic number, because the mean of its divisors is an integer number (2736342).

Almost surely, 2^146096832 is an apocalyptic number.

146096832 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 146096832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229852728).

146096832 is an abundant number, since it is smaller than the sum of its proper divisors (313608624).

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

146096832 is a wasteful number, since it uses less digits than its factorization.

146096832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 375 (or 358 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 39.

The square root of 146096832 is about 12087.0522461020. The cubic root of 146096832 is about 526.6801285526.

The spelling of 146096832 in words is "one hundred forty-six million, ninety-six thousand, eight hundred thirty-two".