146910456 has 256 divisors, whose sum is σ = 520012800. Its totient is φ = 37635840.

The previous prime is 146910437. The next prime is 146910469. The reversal of 146910456 is 654019641.

It is a super-3 number, since 3×146910456³ (a number of 25 digits) contains 333 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 146910456.

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 63 ways as a sum of consecutive naturals, for example, 2012436 + ... + 2012508.

It is an arithmetic number, because the mean of its divisors is an integer number (2031300).

Almost surely, 2^146910456 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 146910456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260006400).

146910456 is an abundant number, since it is smaller than the sum of its proper divisors (373102344).

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

146910456 is a wasteful number, since it uses less digits than its factorization.

146910456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 146910456 is about 12120.6623581387. The cubic root of 146910456 is about 527.6560259613.

The spelling of 146910456 in words is "one hundred forty-six million, nine hundred ten thousand, four hundred fifty-six".