148950144 has 256 divisors, whose sum is σ = 517017600. Its totient is φ = 41333760.

The previous prime is 148950121. The next prime is 148950157. The reversal of 148950144 is 441059841.

148950144 is a `hidden beast` number, since 148 + 9 + 501 + 4 + 4 = 666.

It is a super-2 number, since 2×148950144² = 44372290795241472, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 148950099 and 148950108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1136959 + ... + 1137089.

It is an arithmetic number, because the mean of its divisors is an integer number (2019600).

Almost surely, 2^148950144 is an apocalyptic number.

148950144 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 148950144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258508800).

148950144 is an abundant number, since it is smaller than the sum of its proper divisors (368067456).

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

148950144 is a wasteful number, since it uses less digits than its factorization.

148950144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 148950144 is about 12204.5132635431. The cubic root of 148950144 is about 530.0867829887.

The spelling of 148950144 in words is "one hundred forty-eight million, nine hundred fifty thousand, one hundred forty-four".