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142521132 = 223131761881
BaseRepresentation
bin10000111111010…
…11001100101100
3100221011211020110
420133223030230
5242441134012
622050420020
73350260335
oct1037531454
9327154213
10142521132
11734a4266
123b891610
13236b0a40
1414cdd28c
15c7a373c
hex87eb32c

142521132 has 96 divisors (see below), whose sum is σ = 385850304. Its totient is φ = 40550400.

The previous prime is 142521121. The next prime is 142521139. The reversal of 142521132 is 231125241.

It is a super-2 number, since 2×1425211322 = 40624546133122848, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 142521099 and 142521108.

It is not an unprimeable number, because it can be changed into a prime (142521139) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 161332 + ... + 162212.

It is an arithmetic number, because the mean of its divisors is an integer number (4019274).

Almost surely, 2142521132 is an apocalyptic number.

142521132 is a gapful number since it is divisible by the number (12) 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 142521132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192925152).

142521132 is an abundant number, since it is smaller than the sum of its proper divisors (243329172).

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

142521132 is a wasteful number, since it uses less digits than its factorization.

142521132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 979 (or 977 counting only the distinct ones).

The product of its digits is 480, while the sum is 21.

The square root of 142521132 is about 11938.2214755800. The cubic root of 142521132 is about 522.3477813344.

Adding to 142521132 its reverse (231125241), we get a palindrome (373646373).

The spelling of 142521132 in words is "one hundred forty-two million, five hundred twenty-one thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 13 17 26 34 39 51 52 61 68 78 102 122 156 183 204 221 244 366 442 663 732 793 881 884 1037 1326 1586 1762 2074 2379 2643 2652 3111 3172 3524 4148 4758 5286 6222 9516 10572 11453 12444 13481 14977 22906 26962 29954 34359 40443 44931 45812 53741 53924 59908 68718 80886 89862 107482 137436 161223 161772 179724 194701 214964 322446 389402 584103 644892 698633 778804 913597 1168206 1397266 1827194 2095899 2336412 2740791 2794532 3654388 4191798 5481582 8383596 10963164 11876761 23753522 35630283 47507044 71260566 142521132