148149628704 has 576 divisors, whose sum is σ = 537788160000. Its totient is φ = 37571973120.

The previous prime is 148149628691. The next prime is 148149628747. The reversal of 148149628704 is 407826941841.

148149628704 is a `hidden beast` number, since 1 + 4 + 8 + 1 + 4 + 9 + 628 + 7 + 0 + 4 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 260368132 + ... + 260368700.

It is an arithmetic number, because the mean of its divisors is an integer number (933660000).

Almost surely, 2^148149628704 is an apocalyptic number.

148149628704 is a gapful number since it is divisible by the number (14) 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 148149628704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268894080000).

148149628704 is an abundant number, since it is smaller than the sum of its proper divisors (389638531296).

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

148149628704 is a wasteful number, since it uses less digits than its factorization.

148149628704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 861 (or 850 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The spelling of 148149628704 in words is "one hundred forty-eight billion, one hundred forty-nine million, six hundred twenty-eight thousand, seven hundred four".