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133148224 = 2611316101
BaseRepresentation
bin1111110111110…
…10111001000000
3100021112122000201
413323322321000
5233041220344
621113454544
73204512146
oct773727100
9307478021
10133148224
1169182260
1238711454
132177b741
141397d596
15ba514d4
hex7efae40

133148224 has 56 divisors (see below), whose sum is σ = 297582336. Its totient is φ = 58560000.

The previous prime is 133148209. The next prime is 133148231. The reversal of 133148224 is 422841331.

It is a junction number, because it is equal to n+sod(n) for n = 133148192 and 133148201.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18774 + ... + 24874.

Almost surely, 2133148224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133148224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148791168).

133148224 is an abundant number, since it is smaller than the sum of its proper divisors (164434112).

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

133148224 is a wasteful number, since it uses less digits than its factorization.

133148224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6155 (or 6145 counting only the distinct ones).

The product of its digits is 4608, while the sum is 28.

The square root of 133148224 is about 11538.9871305934. The cubic root of 133148224 is about 510.6364270562.

Adding to 133148224 its reverse (422841331), we get a palindrome (555989555).

The spelling of 133148224 in words is "one hundred thirty-three million, one hundred forty-eight thousand, two hundred twenty-four".

Divisors: 1 2 4 8 11 16 22 31 32 44 62 64 88 124 176 248 341 352 496 682 704 992 1364 1984 2728 5456 6101 10912 12202 21824 24404 48808 67111 97616 134222 189131 195232 268444 378262 390464 536888 756524 1073776 1513048 2080441 2147552 3026096 4160882 4295104 6052192 8321764 12104384 16643528 33287056 66574112 133148224