146714400 has 432 divisors, whose sum is σ = 614210688. Its totient is φ = 32256000.

The previous prime is 146714383. The next prime is 146714411. The reversal of 146714400 is 4417641.

146714400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2066365 + ... + 2066435.

It is an arithmetic number, because the mean of its divisors is an integer number (1421784).

Almost surely, 2^146714400 is an apocalyptic number.

146714400 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 146714400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307105344).

146714400 is an abundant number, since it is smaller than the sum of its proper divisors (467496288).

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

146714400 is a wasteful number, since it uses less digits than its factorization.

146714400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 146714400 is about 12112.5719812103. The cubic root of 146714400 is about 527.4211976951.

The spelling of 146714400 in words is "one hundred forty-six million, seven hundred fourteen thousand, four hundred".