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148520960 = 21457237
BaseRepresentation
bin10001101101001…
…00000000000000
3101100110122110022
420312210000000
5301010132320
622423153012
73452256500
oct1066440000
9340418408
10148520960
1176921aa5
12418a5768
1324a01933
1415a21a00
15d08b325
hex8da4000

148520960 has 180 divisors, whose sum is σ = 425839932. Its totient is φ = 49545216.

The previous prime is 148520951. The next prime is 148520989. The reversal of 148520960 is 69025841.

It can be written as a sum of positive squares in 2 ways, for example, as 97140736 + 51380224 = 9856^2 + 7168^2 .

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 148520960.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4014062 + ... + 4014098.

Almost surely, 2148520960 is an apocalyptic number.

148520960 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 148520960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212919966).

148520960 is an abundant number, since it is smaller than the sum of its proper divisors (277318972).

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

148520960 is an frugal number, since it uses more digits than its factorization.

148520960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 35.

The square root of 148520960 is about 12186.9175758270. The cubic root of 148520960 is about 529.5771636390.

The spelling of 148520960 in words is "one hundred forty-eight million, five hundred twenty thousand, nine hundred sixty".