148955040 has 288 divisors, whose sum is σ = 559999440. Its totient is φ = 35831808.

The previous prime is 148955039. The next prime is 148955083. The reversal of 148955040 is 40559841.

148955040 is a `hidden beast` number, since 148 + 9 + 5 + 504 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 55175184 + 93779856 = 7428^2 + 9684^2 .

It is a tau number, because it is divible by the number of its divisors (288).

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 = 148954986 and 148955004.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1366506 + ... + 1366614.

Almost surely, 2^148955040 is an apocalyptic number.

148955040 is a gapful number since it is divisible by the number (10) 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 148955040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279999720).

148955040 is an abundant number, since it is smaller than the sum of its proper divisors (411044400).

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

148955040 is a wasteful number, since it uses less digits than its factorization.

148955040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 148955040 is about 12204.7138434295. The cubic root of 148955040 is about 530.0925909197.

The spelling of 148955040 in words is "one hundred forty-eight million, nine hundred fifty-five thousand, forty".