146758144 has 80 divisors (see below), whose sum is σ = 334619208. Its totient is φ = 63700992.

The previous prime is 146758141. The next prime is 146758217. The reversal of 146758144 is 441857641.

It can be written as a sum of positive squares in 4 ways, for example, as 145926400 + 831744 = 12080^2 + 912^2 .

It is a junction number, because it is equal to n+sod(n) for n = 146758097 and 146758106.

It is not an unprimeable number, because it can be changed into a prime (146758141) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 112504 + ... + 113800.

Almost surely, 2^146758144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 146758144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167309604).

146758144 is an abundant number, since it is smaller than the sum of its proper divisors (187861064).

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

146758144 is a wasteful number, since it uses less digits than its factorization.

146758144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1345 (or 1329 counting only the distinct ones).

The product of its digits is 107520, while the sum is 40.

The square root of 146758144 is about 12114.3775737757. The cubic root of 146758144 is about 527.4736106832.

The spelling of 146758144 in words is "one hundred forty-six million, seven hundred fifty-eight thousand, one hundred forty-four".