148949905104 has 1280 divisors, whose sum is σ = 599721615360. Its totient is φ = 34159656960.

The previous prime is 148949905079. The next prime is 148949905121. The reversal of 148949905104 is 401509949841.

148949905104 is a `hidden beast` number, since 1 + 4 + 89 + 49 + 9 + 0 + 510 + 4 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1535565984 + ... + 1535566080.

It is an arithmetic number, because the mean of its divisors is an integer number (468532512).

Almost surely, 2^148949905104 is an apocalyptic number.

148949905104 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 148949905104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299860807680).

148949905104 is an abundant number, since it is smaller than the sum of its proper divisors (450771710256).

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

148949905104 is a wasteful number, since it uses less digits than its factorization.

148949905104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 54.

The spelling of 148949905104 in words is "one hundred forty-eight billion, nine hundred forty-nine million, nine hundred five thousand, one hundred four".