147091968 has 120 divisors (see below), whose sum is σ = 429451308. Its totient is φ = 48463872.

The previous prime is 147091963. The next prime is 147091981. The reversal of 147091968 is 869190741.

It is a happy number.

147091968 is a `hidden beast` number, since 1 + 470 + 91 + 96 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 145154304 + 1937664 = 12048^2 + 1392^2 .

It is a super-2 number, since 2×147091968² = 43272094100226048, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (147091961) 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, 631180 + ... + 631412.

Almost surely, 2^147091968 is an apocalyptic number.

147091968 is a gapful number since it is divisible by the number (18) 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 147091968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214725654).

147091968 is an abundant number, since it is smaller than the sum of its proper divisors (282359340).

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

147091968 is a wasteful number, since it uses less digits than its factorization.

147091968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 394 (or 375 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 45.

The square root of 147091968 is about 12128.1477563559. The cubic root of 147091968 is about 527.8732478111.

The spelling of 147091968 in words is "one hundred forty-seven million, ninety-one thousand, nine hundred sixty-eight".