147018400 has 72 divisors (see below), whose sum is σ = 371343420. Its totient is φ = 56770560.

The previous prime is 147018367. The next prime is 147018413. The reversal of 147018400 is 4810741.

It can be written as a sum of positive squares in 6 ways, for example, as 44036496 + 102981904 = 6636^2 + 10148^2 .

It is a super-3 number, since 3×147018400³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20032 + ... + 26368.

Almost surely, 2^147018400 is an apocalyptic number.

147018400 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 147018400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185671710).

147018400 is an abundant number, since it is smaller than the sum of its proper divisors (224325020).

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

147018400 is a wasteful number, since it uses less digits than its factorization.

147018400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6386 (or 6373 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 25.

The square root of 147018400 is about 12125.1144324497. The cubic root of 147018400 is about 527.7852279240.

The spelling of 147018400 in words is "one hundred forty-seven million, eighteen thousand, four hundred".