148786128 has 60 divisors (see below), whose sum is σ = 417989988. Its totient is φ = 49405440.

The previous prime is 148786123. The next prime is 148786147. The reversal of 148786128 is 821687841.

148786128 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 109998144 + 38787984 = 10488^2 + 6228^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (148786123) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 38626 + ... + 42302.

Almost surely, 2^148786128 is an apocalyptic number.

148786128 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 148786128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208994994).

148786128 is an abundant number, since it is smaller than the sum of its proper divisors (269203860).

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

148786128 is a wasteful number, since it uses less digits than its factorization.

148786128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3972 (or 3963 counting only the distinct ones).

The product of its digits is 172032, while the sum is 45.

The square root of 148786128 is about 12197.7919313292. The cubic root of 148786128 is about 529.8921437105.

The spelling of 148786128 in words is "one hundred forty-eight million, seven hundred eighty-six thousand, one hundred twenty-eight".