147678048 has 288 divisors, whose sum is σ = 528353280. Its totient is φ = 38154240.

The previous prime is 147678029. The next prime is 147678053. The reversal of 147678048 is 840876741.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×147678048² = 43617611722180608, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 147677994 and 147678012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1062363 + ... + 1062501.

It is an arithmetic number, because the mean of its divisors is an integer number (1834560).

Almost surely, 2^147678048 is an apocalyptic number.

147678048 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 147678048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264176640).

147678048 is an abundant number, since it is smaller than the sum of its proper divisors (380675232).

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

147678048 is a wasteful number, since it uses less digits than its factorization.

147678048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 45.

The square root of 147678048 is about 12152.2857109270. The cubic root of 147678048 is about 528.5734128556.

It can be divided in two parts, 1476 and 78048, that added together give a square (79524 = 282²).

The spelling of 147678048 in words is "one hundred forty-seven million, six hundred seventy-eight thousand, forty-eight".