146090016 has 108 divisors (see below), whose sum is σ = 425468862. Its totient is φ = 47545344.

The previous prime is 146090003. The next prime is 146090033. The reversal of 146090016 is 610090641.

It can be written as a sum of positive squares in only one way, i.e., 145443600 + 646416 = 12060^2 + 804^2 .

It is a zygodrome in base 6.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1292776 + ... + 1292888.

Almost surely, 2^146090016 is an apocalyptic number.

146090016 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 146090016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212734431).

146090016 is an abundant number, since it is smaller than the sum of its proper divisors (279378846).

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

146090016 is a wasteful number, since it uses less digits than its factorization.

146090016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 146090016 is about 12086.7702882118. The cubic root of 146090016 is about 526.6719378489.

The spelling of 146090016 in words is "one hundred forty-six million, ninety thousand, sixteen".