146143296 has 168 divisors, whose sum is σ = 467365080. Its totient is φ = 43352064.

The previous prime is 146143289. The next prime is 146143321. The reversal of 146143296 is 692341641.

146143296 is a `hidden beast` number, since 1 + 4 + 614 + 32 + 9 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2143296 + 144000000 = 1464^2 + 12000^2 .

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

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

It is a self number, because there is not a number n which added to its sum of digits gives 146143296.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 216816 + ... + 217488.

It is an arithmetic number, because the mean of its divisors is an integer number (2781935).

Almost surely, 2^146143296 is an apocalyptic number.

146143296 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 146143296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233682540).

146143296 is an abundant number, since it is smaller than the sum of its proper divisors (321221784).

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

146143296 is a wasteful number, since it uses less digits than its factorization.

146143296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 733 (or 720 counting only the distinct ones).

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

The square root of 146143296 is about 12088.9741500261. The cubic root of 146143296 is about 526.7359569858.

The spelling of 146143296 in words is "one hundred forty-six million, one hundred forty-three thousand, two hundred ninety-six".