147998400 has 168 divisors, whose sum is σ = 529888704. Its totient is φ = 35865600.

The previous prime is 147998393. The next prime is 147998407. The reversal of 147998400 is 4899741.

147998400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (147998393) and next prime (147998407).

It is not an unprimeable number, because it can be changed into a prime (147998407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 51399 + ... + 54201.

Almost surely, 2^147998400 is an apocalyptic number.

147998400 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 147998400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264944352).

147998400 is an abundant number, since it is smaller than the sum of its proper divisors (381890304).

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

147998400 is a wasteful number, since it uses less digits than its factorization.

147998400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2839 (or 2824 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 42.

The square root of 147998400 is about 12165.4593008238. The cubic root of 147998400 is about 528.9553411103.

The spelling of 147998400 in words is "one hundred forty-seven million, nine hundred ninety-eight thousand, four hundred".