146880000 has 400 divisors, whose sum is σ = 575253360. Its totient is φ = 36864000.

The previous prime is 146879989. The next prime is 146880053. The reversal of 146880000 is 88641.

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 8639992 + ... + 8640008.

Almost surely, 2^146880000 is an apocalyptic number.

146880000 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 146880000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287626680).

146880000 is an abundant number, since it is smaller than the sum of its proper divisors (428373360).

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

146880000 is an frugal number, since it uses more digits than its factorization.

146880000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 146880000 is about 12119.4059260345. The cubic root of 146880000 is about 527.6195606590.

The spelling of 146880000 in words is "one hundred forty-six million, eight hundred eighty thousand".