148127829408 has 576 divisors, whose sum is σ = 485767497600. Its totient is φ = 43864104960.

The previous prime is 148127829403. The next prime is 148127829419. The reversal of 148127829408 is 804928721841.

148127829408 is a `hidden beast` number, since 1 + 4 + 81 + 278 + 294 + 0 + 8 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (148127829401) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 652545391 + ... + 652545617.

It is an arithmetic number, because the mean of its divisors is an integer number (843346350).

Almost surely, 2^148127829408 is an apocalyptic number.

148127829408 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 148127829408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242883748800).

148127829408 is an abundant number, since it is smaller than the sum of its proper divisors (337639668192).

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

148127829408 is a wasteful number, since it uses less digits than its factorization.

148127829408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 422 (or 395 counting only the distinct ones).

The product of its (nonzero) digits is 2064384, while the sum is 54.

The spelling of 148127829408 in words is "one hundred forty-eight billion, one hundred twenty-seven million, eight hundred twenty-nine thousand, four hundred eight".