146142336 has 128 divisors (see below), whose sum is σ = 418901760. Its totient is φ = 44974080.

The previous prime is 146142307. The next prime is 146142349. The reversal of 146142336 is 633241641.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 398025 + ... + 398391.

It is an arithmetic number, because the mean of its divisors is an integer number (3272670).

Almost surely, 2^146142336 is an apocalyptic number.

146142336 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 146142336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209450880).

146142336 is an abundant number, since it is smaller than the sum of its proper divisors (272759424).

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

146142336 is a wasteful number, since it uses less digits than its factorization.

146142336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 462 (or 450 counting only the distinct ones).

The product of its digits is 10368, while the sum is 30.

The square root of 146142336 is about 12088.9344443586. The cubic root of 146142336 is about 526.7348036255.

Adding to 146142336 its reverse (633241641), we get a palindrome (779383977).

The spelling of 146142336 in words is "one hundred forty-six million, one hundred forty-two thousand, three hundred thirty-six".