146790144 has 90 divisors (see below), whose sum is σ = 437763480. Its totient is φ = 48923136.

The previous prime is 146790113. The next prime is 146790151. The reversal of 146790144 is 441097641.

146790144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 146790099 and 146790108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 17197 + ... + 24275.

Almost surely, 2^146790144 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 146790144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218881740).

146790144 is an abundant number, since it is smaller than the sum of its proper divisors (290973336).

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

146790144 is an frugal number, since it uses more digits than its factorization.

146790144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7107 (or 7084 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 146790144 is about 12115.6982464900. The cubic root of 146790144 is about 527.5119457025.

The spelling of 146790144 in words is "one hundred forty-six million, seven hundred ninety thousand, one hundred forty-four".