146536496 has 40 divisors (see below), whose sum is σ = 297704160. Its totient is φ = 69741056.

The previous prime is 146536399. The next prime is 146536513. The reversal of 146536496 is 694635641.

146536496 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 84890 + ... + 86598.

It is an arithmetic number, because the mean of its divisors is an integer number (7442604).

Almost surely, 2^146536496 is an apocalyptic number.

146536496 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 146536496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148852080).

146536496 is an abundant number, since it is smaller than the sum of its proper divisors (151167664).

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

146536496 is a wasteful number, since it uses less digits than its factorization.

146536496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1973 (or 1967 counting only the distinct ones).

The product of its digits is 466560, while the sum is 44.

The square root of 146536496 is about 12105.2259788903. The cubic root of 146536496 is about 527.2079300764.

The spelling of 146536496 in words is "one hundred forty-six million, five hundred thirty-six thousand, four hundred ninety-six".