146883672 has 192 divisors, whose sum is σ = 469341600. Its totient is φ = 42301440.

The previous prime is 146883643. The next prime is 146883697. The reversal of 146883672 is 276388641.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

Its product of digits (387072) is a multiple of the sum of its prime divisors (216).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 811422 + ... + 811602.

Almost surely, 2^146883672 is an apocalyptic number.

146883672 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 146883672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234670800).

146883672 is an abundant number, since it is smaller than the sum of its proper divisors (322457928).

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

146883672 is a wasteful number, since it uses less digits than its factorization.

146883672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243 (or 216 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

The square root of 146883672 is about 12119.5574176618. The cubic root of 146883672 is about 527.6239574520.

It can be divided in two parts, 14688 and 3672, that multiplied together give a square (53934336 = 7344²).

The spelling of 146883672 in words is "one hundred forty-six million, eight hundred eighty-three thousand, six hundred seventy-two".