146126496 has 48 divisors (see below), whose sum is σ = 385560000. Its totient is φ = 48457728.

The previous prime is 146126489. The next prime is 146126527. The reversal of 146126496 is 694621641.

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

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 7 ways as a sum of consecutive naturals, for example, 15280 + ... + 22928.

It is an arithmetic number, because the mean of its divisors is an integer number (8032500).

Almost surely, 2^146126496 is an apocalyptic number.

146126496 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 146126496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192780000).

146126496 is an abundant number, since it is smaller than the sum of its proper divisors (239433504).

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

146126496 is a wasteful number, since it uses less digits than its factorization.

146126496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7861 (or 7853 counting only the distinct ones).

The product of its digits is 62208, while the sum is 39.

The square root of 146126496 is about 12088.2792820153. The cubic root of 146126496 is about 526.7157724513.

The spelling of 146126496 in words is "one hundred forty-six million, one hundred twenty-six thousand, four hundred ninety-six".