146306496 has 112 divisors (see below), whose sum is σ = 461735424. Its totient is φ = 39975936.

The previous prime is 146306443. The next prime is 146306533. The reversal of 146306496 is 694603641.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28546 + ... + 33278.

Almost surely, 2^146306496 is an apocalyptic number.

146306496 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 146306496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230867712).

146306496 is an abundant number, since it is smaller than the sum of its proper divisors (315428928).

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

146306496 is a wasteful number, since it uses less digits than its factorization.

146306496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4778 (or 4768 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 39.

The square root of 146306496 is about 12095.7222190326. The cubic root of 146306496 is about 526.9319548674.

The spelling of 146306496 in words is "one hundred forty-six million, three hundred six thousand, four hundred ninety-six".