146934144 has 288 divisors, whose sum is σ = 521515800. Its totient is φ = 39481344.

The previous prime is 146934107. The next prime is 146934167. The reversal of 146934144 is 441439641.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

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 junction number, because it is equal to n+sod(n) for n = 146934099 and 146934108.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1072444 + ... + 1072580.

Almost surely, 2^146934144 is an apocalyptic number.

146934144 is a gapful number since it is divisible by the number (14) 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 146934144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260757900).

146934144 is an abundant number, since it is smaller than the sum of its proper divisors (374581656).

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

146934144 is a wasteful number, since it uses less digits than its factorization.

146934144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 168 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 146934144 is about 12121.6394930719. The cubic root of 146934144 is about 527.6843843789.

The spelling of 146934144 in words is "one hundred forty-six million, nine hundred thirty-four thousand, one hundred forty-four".