146206944 has 120 divisors (see below), whose sum is σ = 463173480. Its totient is φ = 44976384.

The previous prime is 146206927. The next prime is 146206967. The reversal of 146206944 is 449602641.

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 = 146206899 and 146206908.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 31527 + ... + 35865.

It is an arithmetic number, because the mean of its divisors is an integer number (3859779).

Almost surely, 2^146206944 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 146206944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231586740).

146206944 is an abundant number, since it is smaller than the sum of its proper divisors (316966536).

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

146206944 is a wasteful number, since it uses less digits than its factorization.

146206944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4374 (or 4357 counting only the distinct ones).

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

The square root of 146206944 is about 12091.6063448989. The cubic root of 146206944 is about 526.8124135077.

The spelling of 146206944 in words is "one hundred forty-six million, two hundred six thousand, nine hundred forty-four".