147124400 has 60 divisors (see below), whose sum is σ = 362127864. Its totient is φ = 57408000.

The previous prime is 147124381. The next prime is 147124421. The reversal of 147124400 is 4421741.

It is a happy number.

147124400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11915 + ... + 20885.

Almost surely, 2^147124400 is an apocalyptic number.

147124400 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 147124400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181063932).

147124400 is an abundant number, since it is smaller than the sum of its proper divisors (215003464).

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

147124400 is a wasteful number, since it uses less digits than its factorization.

147124400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9030 (or 9019 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 23.

The square root of 147124400 is about 12129.4847376135. The cubic root of 147124400 is about 527.9120415157.

The spelling of 147124400 in words is "one hundred forty-seven million, one hundred twenty-four thousand, four hundred".