147744000 has 432 divisors, whose sum is σ = 580332480. Its totient is φ = 37324800.

The previous prime is 147743969. The next prime is 147744007. The reversal of 147744000 is 447741.

It is a tau number, because it is divible by the number of its divisors (432).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (147744007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7775991 + ... + 7776009.

Almost surely, 2^147744000 is an apocalyptic number.

147744000 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 147744000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290166240).

147744000 is an abundant number, since it is smaller than the sum of its proper divisors (432588480).

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

147744000 is an frugal number, since it uses more digits than its factorization.

147744000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 27.

The square root of 147744000 is about 12154.9989716166. The cubic root of 147744000 is about 528.6520868946.

The spelling of 147744000 in words is "one hundred forty-seven million, seven hundred forty-four thousand".