146854080 has 224 divisors, whose sum is σ = 541324800. Its totient is φ = 37407744.

The previous prime is 146854079. The next prime is 146854091. The reversal of 146854080 is 80458641.

It is a super-3 number, since 3×146854080³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 198351 + ... + 199089.

Almost surely, 2^146854080 is an apocalyptic number.

146854080 is a gapful number since it is divisible by the number (10) 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 146854080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270662400).

146854080 is an abundant number, since it is smaller than the sum of its proper divisors (394470720).

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

146854080 is a wasteful number, since it uses less digits than its factorization.

146854080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 788 (or 772 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 146854080 is about 12118.3365195063. The cubic root of 146854080 is about 527.5885223884.

The spelling of 146854080 in words is "one hundred forty-six million, eight hundred fifty-four thousand, eighty".