148642129152 has 648 divisors, whose sum is σ = 512943762240. Its totient is φ = 40911667200.

The previous prime is 148642129109. The next prime is 148642129211. The reversal of 148642129152 is 251921246841.

148642129152 is a `hidden beast` number, since 1 + 486 + 4 + 2 + 12 + 9 + 152 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 148642129098 and 148642129107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 414044749 + ... + 414045107.

It is an arithmetic number, because the mean of its divisors is an integer number (791579880).

Almost surely, 2^148642129152 is an apocalyptic number.

148642129152 is a gapful number since it is divisible by the number (12) 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 148642129152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256471881120).

148642129152 is an abundant number, since it is smaller than the sum of its proper divisors (364301633088).

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

148642129152 is a wasteful number, since it uses less digits than its factorization.

148642129152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 471 (or 423 counting only the distinct ones).

The product of its digits is 276480, while the sum is 45.

The spelling of 148642129152 in words is "one hundred forty-eight billion, six hundred forty-two million, one hundred twenty-nine thousand, one hundred fifty-two".