147879648 has 192 divisors, whose sum is σ = 504000000. Its totient is φ = 42166656.

The previous prime is 147879619. The next prime is 147879659. The reversal of 147879648 is 846978741.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 147879594 and 147879603.

It is a congruent number.

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, 296103 + ... + 296601.

It is an arithmetic number, because the mean of its divisors is an integer number (2625000).

Almost surely, 2^147879648 is an apocalyptic number.

147879648 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 147879648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252000000).

147879648 is an abundant number, since it is smaller than the sum of its proper divisors (356120352).

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

147879648 is an equidigital number, since it uses as much as digits as its factorization.

147879648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 539 (or 511 counting only the distinct ones).

The product of its digits is 2709504, while the sum is 54.

The square root of 147879648 is about 12160.5776178601. The cubic root of 147879648 is about 528.8138276149.

The spelling of 147879648 in words is "one hundred forty-seven million, eight hundred seventy-nine thousand, six hundred forty-eight".