147438000 has 120 divisors (see below), whose sum is σ = 515014656. Its totient is φ = 39312000.

The previous prime is 147437977. The next prime is 147438017. The reversal of 147438000 is 834741.

147438000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

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 23 ways as a sum of consecutive naturals, for example, 13905 + ... + 22095.

Almost surely, 2^147438000 is an apocalyptic number.

147438000 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 147438000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257507328).

147438000 is an abundant number, since it is smaller than the sum of its proper divisors (367576656).

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

147438000 is a wasteful number, since it uses less digits than its factorization.

147438000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8220 (or 8201 counting only the distinct ones).

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

The square root of 147438000 is about 12142.4050336002. The cubic root of 147438000 is about 528.2868620262.

The spelling of 147438000 in words is "one hundred forty-seven million, four hundred thirty-eight thousand".