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125142000 = 2435320857
BaseRepresentation
bin1110111010110…
…00001111110000
322201110212112220
413131120033300
5224014021000
620230121040
73046455324
oct735301760
9281425486
10125142000
1164704045
1235ab0180
131cc07529
1412897984
15aebe1a0
hex77583f0

125142000 has 80 divisors (see below), whose sum is σ = 403477152. Its totient is φ = 33369600.

The previous prime is 125141983. The next prime is 125142001. The reversal of 125142000 is 241521.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125142001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4429 + ... + 16428.

Almost surely, 2125142000 is an apocalyptic number.

125142000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

125142000 is an abundant number, since it is smaller than the sum of its proper divisors (278335152).

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

125142000 is a wasteful number, since it uses less digits than its factorization.

125142000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20883 (or 20867 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 125142000 is about 11186.6885180557. The cubic root of 125142000 is about 500.1892616843.

Adding to 125142000 its reverse (241521), we get a palindrome (125383521).

The spelling of 125142000 in words is "one hundred twenty-five million, one hundred forty-two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 500 600 750 1000 1200 1500 2000 3000 6000 20857 41714 62571 83428 104285 125142 166856 208570 250284 312855 333712 417140 500568 521425 625710 834280 1001136 1042850 1251420 1564275 1668560 2085700 2502840 2607125 3128550 4171400 5005680 5214250 6257100 7821375 8342800 10428500 12514200 15642750 20857000 25028400 31285500 41714000 62571000 125142000