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148121200 = 24523671009
BaseRepresentation
bin10001101010000…
…10011001110000
3101022201100002101
420311002121300
5300404334300
622410430144
73446003143
oct1065023160
9338640071
10148121200
1176679717
1241732354
13248c19a6
141595a05a
15d00cb6a
hex8d42670

148121200 has 60 divisors (see below), whose sum is σ = 357184480. Its totient is φ = 59028480.

The previous prime is 148121189. The next prime is 148121201. The reversal of 148121200 is 2121841.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (148121201) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 146296 + ... + 147304.

Almost surely, 2148121200 is an apocalyptic number.

148121200 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 148121200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178592240).

148121200 is an abundant number, since it is smaller than the sum of its proper divisors (209063280).

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

148121200 is a wasteful number, since it uses less digits than its factorization.

148121200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1394 (or 1383 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 19.

The square root of 148121200 is about 12170.5053305111. The cubic root of 148121200 is about 529.1015989049.

The spelling of 148121200 in words is "one hundred forty-eight million, one hundred twenty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 367 400 734 1009 1468 1835 2018 2936 3670 4036 5045 5872 7340 8072 9175 10090 14680 16144 18350 20180 25225 29360 36700 40360 50450 73400 80720 100900 146800 201800 370303 403600 740606 1481212 1851515 2962424 3703030 5924848 7406060 9257575 14812120 18515150 29624240 37030300 74060600 148121200