146072448 has 192 divisors, whose sum is σ = 453492000. Its totient is φ = 45010944.

The previous prime is 146072429. The next prime is 146072477. The reversal of 146072448 is 844270641.

146072448 is a `hidden beast` number, since 1 + 4 + 607 + 2 + 4 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 980278 + ... + 980426.

Almost surely, 2^146072448 is an apocalyptic number.

146072448 is a gapful number since it is divisible by the number (18) 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 146072448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226746000).

146072448 is an abundant number, since it is smaller than the sum of its proper divisors (307419552).

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

146072448 is a wasteful number, since it uses less digits than its factorization.

146072448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 146072448 is about 12086.0435213514. The cubic root of 146072448 is about 526.6508254239.

The spelling of 146072448 in words is "one hundred forty-six million, seventy-two thousand, four hundred forty-eight".