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146475132 = 2232367892
BaseRepresentation
bin10001011101100…
…00100001111100
3101012121201002220
420232300201330
5244444201012
622311245340
73426006126
oct1056604174
9335551086
10146475132
1175754a31
1241079850
132446669b
141564c216
15ccd508c
hex8bb087c

146475132 has 72 divisors (see below), whose sum is σ = 366070656. Its totient is φ = 45488256.

The previous prime is 146475101. The next prime is 146475139. The reversal of 146475132 is 231574641.

146475132 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a plaindrome in base 13.

It is a junction number, because it is equal to n+sod(n) for n = 146475093 and 146475102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146475139) 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 23 ways as a sum of consecutive naturals, for example, 1645744 + ... + 1645832.

Almost surely, 2146475132 is an apocalyptic number.

146475132 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 146475132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183035328).

146475132 is an abundant number, since it is smaller than the sum of its proper divisors (219595524).

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

146475132 is a wasteful number, since it uses less digits than its factorization.

146475132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275 (or 184 counting only the distinct ones).

The product of its digits is 20160, while the sum is 33.

The square root of 146475132 is about 12102.6911057004. The cubic root of 146475132 is about 527.1343281519.

The spelling of 146475132 in words is "one hundred forty-six million, four hundred seventy-five thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 23 46 67 69 89 92 134 138 178 201 267 268 276 356 402 534 804 1068 1541 2047 3082 4094 4623 5963 6141 6164 7921 8188 9246 11926 12282 15842 17889 18492 23763 23852 24564 31684 35778 47526 71556 95052 137149 182183 274298 364366 411447 530707 546549 548596 728732 822894 1061414 1093098 1592121 1645788 2122828 2186196 3184242 6368484 12206261 24412522 36618783 48825044 73237566 146475132