146889792 has 168 divisors, whose sum is σ = 509723136. Its totient is φ = 39481344.

The previous prime is 146889781. The next prime is 146889793. The reversal of 146889792 is 297988641.

146889792 is a `hidden beast` number, since 1 + 468 + 8 + 97 + 92 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is a super-2 number, since 2×146889792² = 43153221987606528, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (146889793) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 67473 + ... + 69615.

Almost surely, 2^146889792 is an apocalyptic number.

146889792 is a gapful number since it is divisible by the number (12) 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 146889792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254861568).

146889792 is an abundant number, since it is smaller than the sum of its proper divisors (362833344).

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

146889792 is a wasteful number, since it uses less digits than its factorization.

146889792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2185 (or 2172 counting only the distinct ones).

The product of its digits is 1741824, while the sum is 54.

The square root of 146889792 is about 12119.8098994992. The cubic root of 146889792 is about 527.6312852776.

The spelling of 146889792 in words is "one hundred forty-six million, eight hundred eighty-nine thousand, seven hundred ninety-two".