148877568 has 288 divisors, whose sum is σ = 535691520. Its totient is φ = 39813120.

The previous prime is 148877563. The next prime is 148877569. The reversal of 148877568 is 865778841.

It is a happy number.

148877568 is a `hidden beast` number, since 1 + 4 + 8 + 8 + 77 + 568 = 666.

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

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

Its product of digits (3010560) is a multiple of the sum of its prime divisors (210).

It is not an unprimeable number, because it can be changed into a prime (148877563) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 822438 + ... + 822618.

It is an arithmetic number, because the mean of its divisors is an integer number (1860040).

Almost surely, 2^148877568 is an apocalyptic number.

148877568 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 148877568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267845760).

148877568 is an abundant number, since it is smaller than the sum of its proper divisors (386813952).

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

148877568 is a wasteful number, since it uses less digits than its factorization.

148877568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230 (or 210 counting only the distinct ones).

The product of its digits is 3010560, while the sum is 54.

The square root of 148877568 is about 12201.5395749881. The cubic root of 148877568 is about 530.0006740231. Note that the first 3 decimals are identical.

The spelling of 148877568 in words is "one hundred forty-eight million, eight hundred seventy-seven thousand, five hundred sixty-eight".