147986400 has 144 divisors (see below), whose sum is σ = 485687664. Its totient is φ = 39137280.

The previous prime is 147986381. The next prime is 147986407. The reversal of 147986400 is 4689741.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (147986407) 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, 472644 + ... + 472956.

It is an arithmetic number, because the mean of its divisors is an integer number (3372831).

Almost surely, 2^147986400 is an apocalyptic number.

147986400 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 147986400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242843832).

147986400 is an abundant number, since it is smaller than the sum of its proper divisors (337701264).

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

147986400 is a wasteful number, since it uses less digits than its factorization.

147986400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 533 (or 520 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The square root of 147986400 is about 12164.9660911981. The cubic root of 147986400 is about 528.9410444790.

The spelling of 147986400 in words is "one hundred forty-seven million, nine hundred eighty-six thousand, four hundred".