146416896 has 180 divisors, whose sum is σ = 457054752. Its totient is φ = 46531584.

The previous prime is 146416883. The next prime is 146416913. The reversal of 146416896 is 698614641.

146416896 is a `hidden beast` number, since 146 + 416 + 8 + 96 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 476775 + ... + 477081.

Almost surely, 2^146416896 is an apocalyptic number.

146416896 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 146416896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228527376).

146416896 is an abundant number, since it is smaller than the sum of its proper divisors (310637856).

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

146416896 is an equidigital number, since it uses as much as digits as its factorization.

146416896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 358 (or 335 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The square root of 146416896 is about 12100.2849553223. The cubic root of 146416896 is about 527.0644590359.

The spelling of 146416896 in words is "one hundred forty-six million, four hundred sixteen thousand, eight hundred ninety-six".