146438496 has 48 divisors (see below), whose sum is σ = 427114800. Its totient is φ = 48812544.

The previous prime is 146438473. The next prime is 146438497. The reversal of 146438496 is 694834641.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×146438496² = 42888466221484032, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146438497) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 83881 + ... + 85608.

It is an arithmetic number, because the mean of its divisors is an integer number (8898225).

Almost surely, 2^146438496 is an apocalyptic number.

146438496 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

146438496 is an abundant number, since it is smaller than the sum of its proper divisors (280676304).

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

146438496 is a wasteful number, since it uses less digits than its factorization.

146438496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169508 (or 169494 counting only the distinct ones).

The product of its digits is 497664, while the sum is 45.

The square root of 146438496 is about 12101.1774633711. The cubic root of 146438496 is about 527.0903759732.

The spelling of 146438496 in words is "one hundred forty-six million, four hundred thirty-eight thousand, four hundred ninety-six".