147009600 has 336 divisors, whose sum is σ = 555589440. Its totient is φ = 37785600.

The previous prime is 147009589. The next prime is 147009623. The reversal of 147009600 is 6900741.

It is a super-2 number, since 2×147009600² = 43223644984320000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1771159 + ... + 1771241.

It is an arithmetic number, because the mean of its divisors is an integer number (1653540).

Almost surely, 2^147009600 is an apocalyptic number.

147009600 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 147009600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277794720).

147009600 is an abundant number, since it is smaller than the sum of its proper divisors (408579840).

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

147009600 is a wasteful number, since it uses less digits than its factorization.

147009600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 147009600 is about 12124.7515438462. The cubic root of 147009600 is about 527.7746972632.

The spelling of 147009600 in words is "one hundred forty-seven million, nine thousand, six hundred".