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145133142 = 237111372293
BaseRepresentation
bin10001010011010…
…00111001010110
3101010002112020120
420221220321112
5244123230032
622222412410
73411416460
oct1051507126
9333075216
10145133142
1174a18750
1240731106
13240b68cb
14153bd130
15cb1c62c
hex8a68e56

145133142 has 64 divisors (see below), whose sum is σ = 364690944. Its totient is φ = 37405440.

The previous prime is 145133119. The next prime is 145133147. The reversal of 145133142 is 241331541.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145133147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 62148 + ... + 64440.

It is an arithmetic number, because the mean of its divisors is an integer number (5698296).

Almost surely, 2145133142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145133142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182345472).

145133142 is an abundant number, since it is smaller than the sum of its proper divisors (219557802).

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

145133142 is a wasteful number, since it uses less digits than its factorization.

145133142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2453.

The product of its digits is 1440, while the sum is 24.

The square root of 145133142 is about 12047.1217309364. The cubic root of 145133142 is about 525.5195364942.

Adding to 145133142 its reverse (241331541), we get a palindrome (386464683).

The spelling of 145133142 in words is "one hundred forty-five million, one hundred thirty-three thousand, one hundred forty-two".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 66 77 137 154 231 274 411 462 822 959 1507 1918 2293 2877 3014 4521 4586 5754 6879 9042 10549 13758 16051 21098 25223 31647 32102 48153 50446 63294 75669 96306 151338 176561 314141 353122 529683 628282 942423 1059366 1884846 2198987 3455551 4397974 6596961 6911102 10366653 13193922 20733306 24188857 48377714 72566571 145133142