147888 has 60 divisors (see below), whose sum is σ = 451360. Its totient is φ = 44928.

The previous prime is 147881. The next prime is 147919. The reversal of 147888 is 888741.

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

It is an Ulam number.

It is a d-powerful number, because it can be written as 1 + 4⁸ + 8 + 7⁵ + 8⁵ + 8⁵ .

It is a plaindrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (147881) by changing a digit.

147888 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1833 + ... + 1911.

2¹⁴⁷⁸⁸⁸ is an apocalyptic number.

147888 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 147888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225680).

147888 is an abundant number, since it is smaller than the sum of its proper divisors (303472).

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

147888 is a wasteful number, since it uses less digits than its factorization.

147888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 97 counting only the distinct ones).

The product of its digits is 14336, while the sum is 36.

The square root of 147888 is about 384.5620886151. The cubic root of 147888 is about 52.8823782940.

It can be divided in two parts, 147 and 888, that added together give a triangular number (1035 = T₄₅).

The spelling of 147888 in words is "one hundred forty-seven thousand, eight hundred eighty-eight".