148129056 has 72 divisors (see below), whose sum is σ = 432658044. Its totient is φ = 48038400.

The previous prime is 148129049. The next prime is 148129057. The reversal of 148129056 is 650921841.

148129056 is digitally balanced in base 3, 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 125888400 + 22240656 = 11220^2 + 4716^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×148129056² = 43884434462902272, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 148129056.

It is not an unprimeable number, because it can be changed into a prime (148129057) 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, 3706 + ... + 17606.

Almost surely, 2^148129056 is an apocalyptic number.

148129056 is a gapful number since it is divisible by the number (16) 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 148129056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216329022).

148129056 is an abundant number, since it is smaller than the sum of its proper divisors (284528988).

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

148129056 is a wasteful number, since it uses less digits than its factorization.

148129056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13954 (or 13943 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 148129056 is about 12170.8280737179. The cubic root of 148129056 is about 529.1109528409.

The spelling of 148129056 in words is "one hundred forty-eight million, one hundred twenty-nine thousand, fifty-six".