147768192 has 384 divisors, whose sum is σ = 537580800. Its totient is φ = 39536640.

The previous prime is 147768191. The next prime is 147768193. The reversal of 147768192 is 291867741.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (147768191) and next prime (147768193).

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (147768191) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6424693 + ... + 6424715.

It is an arithmetic number, because the mean of its divisors is an integer number (1399950).

Almost surely, 2^147768192 is an apocalyptic number.

147768192 is a gapful number since it is divisible by the number (12) 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 147768192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268790400).

147768192 is an abundant number, since it is smaller than the sum of its proper divisors (389812608).

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

147768192 is a wasteful number, since it uses less digits than its factorization.

147768192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83 (or 52 counting only the distinct ones).

The product of its digits is 169344, while the sum is 45.

The square root of 147768192 is about 12155.9940769976. The cubic root of 147768192 is about 528.6809396248.

The spelling of 147768192 in words is "one hundred forty-seven million, seven hundred sixty-eight thousand, one hundred ninety-two".