147753216 has 108 divisors (see below), whose sum is σ = 458871868. Its totient is φ = 45453312.

The previous prime is 147753211. The next prime is 147753233. The reversal of 147753216 is 612357741.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 33177600 + 114575616 = 5760^2 + 10704^2 .

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

It is not an unprimeable number, because it can be changed into a prime (147753211) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 27486 + ... + 32418.

Almost surely, 2^147753216 is an apocalyptic number.

147753216 is a gapful number since it is divisible by the number (16) 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 147753216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229435934).

147753216 is an abundant number, since it is smaller than the sum of its proper divisors (311118652).

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

147753216 is a wasteful number, since it uses less digits than its factorization.

147753216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4968 (or 4951 counting only the distinct ones).

The product of its digits is 35280, while the sum is 36.

The square root of 147753216 is about 12155.3780689866. The cubic root of 147753216 is about 528.6630787822.

The spelling of 147753216 in words is "one hundred forty-seven million, seven hundred fifty-three thousand, two hundred sixteen".