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142125126 = 2311131511097
BaseRepresentation
bin10000111100010…
…10100001000110
3100220102201000120
420132022201012
5242341001001
622034122410
73344020653
oct1036124106
9326381016
10142125126
1173253790
123b720406
13235a2710
1414c38c2a
15c726236
hex878a846

142125126 has 64 divisors (see below), whose sum is σ = 336462336. Its totient is φ = 39456000.

The previous prime is 142125077. The next prime is 142125127. The reversal of 142125126 is 621521241.

It is a junction number, because it is equal to n+sod(n) for n = 142125096 and 142125105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142125127) 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 31 ways as a sum of consecutive naturals, for example, 129010 + ... + 130106.

It is an arithmetic number, because the mean of its divisors is an integer number (5257224).

Almost surely, 2142125126 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 142125126, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168231168).

142125126 is an abundant number, since it is smaller than the sum of its proper divisors (194337210).

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

142125126 is a wasteful number, since it uses less digits than its factorization.

142125126 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1277.

The product of its digits is 960, while the sum is 24.

The square root of 142125126 is about 11921.6243020823. The cubic root of 142125126 is about 521.8635379700.

Adding to 142125126 its reverse (621521241), we get a palindrome (763646367).

The spelling of 142125126 in words is "one hundred forty-two million, one hundred twenty-five thousand, one hundred twenty-six".

Divisors: 1 2 3 6 11 13 22 26 33 39 66 78 143 151 286 302 429 453 858 906 1097 1661 1963 2194 3291 3322 3926 4983 5889 6582 9966 11778 12067 14261 21593 24134 28522 36201 42783 43186 64779 72402 85566 129558 156871 165647 313742 331294 470613 496941 941226 993882 1822117 2153411 3644234 4306822 5466351 6460233 10932702 12920466 23687521 47375042 71062563 142125126