147135744 has 144 divisors (see below), whose sum is σ = 497427840. Its totient is φ = 42024960.

The previous prime is 147135739. The next prime is 147135767. The reversal of 147135744 is 447531741.

147135744 is a `hidden beast` number, since 14 + 71 + 3 + 574 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 6.

It is a junction number, because it is equal to n+sod(n) for n = 147135699 and 147135708.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46864 + ... + 49904.

It is an arithmetic number, because the mean of its divisors is an integer number (3454360).

Almost surely, 2^147135744 is an apocalyptic number.

147135744 is a gapful number since it is divisible by the number (14) 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 147135744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248713920).

147135744 is an abundant number, since it is smaller than the sum of its proper divisors (350292096).

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

147135744 is an equidigital number, since it uses as much as digits as its factorization.

147135744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3073 (or 3053 counting only the distinct ones).

The product of its digits is 47040, while the sum is 36.

The square root of 147135744 is about 12129.9523494530. The cubic root of 147135744 is about 527.9256093542.

The spelling of 147135744 in words is "one hundred forty-seven million, one hundred thirty-five thousand, seven hundred forty-four".