146496 has 56 divisors (see below), whose sum is σ = 447040. Its totient is φ = 41472.

The previous prime is 146477. The next prime is 146513. The reversal of 146496 is 694641.

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-2 number, since 2×146496² = 42922156032, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1290 + ... + 1398.

2¹⁴⁶⁴⁹⁶ is an apocalyptic number.

146496 is a gapful number since it is divisible by the number (16) 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 146496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223520).

146496 is an abundant number, since it is smaller than the sum of its proper divisors (300544).

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

146496 is a wasteful number, since it uses less digits than its factorization.

146496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 121 counting only the distinct ones).

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

The square root of 146496 is about 382.7479588450. The cubic root of 146496 is about 52.7159360198.

The spelling of 146496 in words is "one hundred forty-six thousand, four hundred ninety-six".