146006496 has 96 divisors (see below), whose sum is σ = 427956480. Its totient is φ = 48428928.

The previous prime is 146006479. The next prime is 146006519. The reversal of 146006496 is 694600641.

146006496 is a `hidden beast` number, since 1 + 4 + 6 + 0 + 0 + 649 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 146006496.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 299565 + ... + 300051.

It is an arithmetic number, because the mean of its divisors is an integer number (4457880).

Almost surely, 2^146006496 is an apocalyptic number.

146006496 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 146006496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213978240).

146006496 is an abundant number, since it is smaller than the sum of its proper divisors (281949984).

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

146006496 is a wasteful number, since it uses less digits than its factorization.

146006496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 853 (or 839 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 146006496 is about 12083.3147769972. The cubic root of 146006496 is about 526.5715521946.

The spelling of 146006496 in words is "one hundred forty-six million, six thousand, four hundred ninety-six".