Search a number
-
+
148125120 = 26351113283
BaseRepresentation
bin10001101010000…
…11010111000000
3101022201112110120
420311003113000
5300410000440
622410500240
73446020443
oct1065032700
9338645416
10148125120
1176681660
1241734680
13248c3700
141595b65a
15d00ddd0
hex8d435c0

148125120 has 336 divisors, whose sum is σ = 562246272. Its totient is φ = 32747520.

The previous prime is 148125071. The next prime is 148125137. The reversal of 148125120 is 21521841.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1784599 + ... + 1784681.

It is an arithmetic number, because the mean of its divisors is an integer number (1673352).

Almost surely, 2148125120 is an apocalyptic number.

148125120 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 148125120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281123136).

148125120 is an abundant number, since it is smaller than the sum of its proper divisors (414121152).

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

148125120 is a wasteful number, since it uses less digits than its factorization.

148125120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 24.

The square root of 148125120 is about 12170.6663745253. Note that the first 3 decimals coincide. The cubic root of 148125120 is about 529.1062663888.

Adding to 148125120 its reverse (21521841), we get a palindrome (169646961).

The spelling of 148125120 in words is "one hundred forty-eight million, one hundred twenty-five thousand, one hundred twenty".