147735168 has 256 divisors, whose sum is σ = 491754240. Its totient is φ = 38338560.

The previous prime is 147735149. The next prime is 147735173. The reversal of 147735168 is 861537741.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2421858 + ... + 2421918.

It is an arithmetic number, because the mean of its divisors is an integer number (1920915).

Almost surely, 2^147735168 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 147735168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245877120).

147735168 is an abundant number, since it is smaller than the sum of its proper divisors (344019072).

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

147735168 is a wasteful number, since it uses less digits than its factorization.

147735168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 143 counting only the distinct ones).

The product of its digits is 141120, while the sum is 42.

The square root of 147735168 is about 12154.6356588752. The cubic root of 147735168 is about 528.6415525734.

The spelling of 147735168 in words is "one hundred forty-seven million, seven hundred thirty-five thousand, one hundred sixty-eight".