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142148000 = 255335537
BaseRepresentation
bin10000111100100…
…00000110100000
3100220110212101202
420132100012200
5242342214000
622034420332
73344144441
oct1036200640
9326425352
10142148000
1173269995
123b7316a8
13235acc57
1414c432c8
15c72cdd5
hex87901a0

142148000 has 48 divisors (see below), whose sum is σ = 349267464. Its totient is φ = 56857600.

The previous prime is 142147979. The next prime is 142148021. The reversal of 142148000 is 841241.

142148000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (142147979) and next prime (142148021).

It can be written as a sum of positive squares in 4 ways, for example, as 65480464 + 76667536 = 8092^2 + 8756^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13769 + ... + 21768.

Almost surely, 2142148000 is an apocalyptic number.

142148000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

142148000 is an abundant number, since it is smaller than the sum of its proper divisors (207119464).

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

142148000 is an equidigital number, since it uses as much as digits as its factorization.

142148000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35562 (or 35544 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

The square root of 142148000 is about 11922.5836126236. The cubic root of 142148000 is about 521.8915331753.

Adding to 142148000 its reverse (841241), we get a palindrome (142989241).

The spelling of 142148000 in words is "one hundred forty-two million, one hundred forty-eight thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 800 1000 2000 4000 35537 71074 142148 177685 284296 355370 568592 710740 888425 1137184 1421480 1776850 2842960 3553700 4442125 5685920 7107400 8884250 14214800 17768500 28429600 35537000 71074000 142148000