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133145424 = 2433893463
BaseRepresentation
bin1111110111110…
…10001101010000
3100021112111012000
413323322031100
5233041123144
621113434000
73204501036
oct773721520
9307474160
10133145424
1169180145
123870b900
132177a399
141397c556
15ba50769
hex7efa350

133145424 has 80 divisors (see below), whose sum is σ = 386582400. Its totient is φ = 43870464.

The previous prime is 133145423. The next prime is 133145449. The reversal of 133145424 is 424541331.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133145423) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36717 + ... + 40179.

It is an arithmetic number, because the mean of its divisors is an integer number (4832280).

Almost surely, 2133145424 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 133145424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193291200).

133145424 is an abundant number, since it is smaller than the sum of its proper divisors (253436976).

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

133145424 is a wasteful number, since it uses less digits than its factorization.

133145424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3569 (or 3557 counting only the distinct ones).

The product of its digits is 5760, while the sum is 27.

The square root of 133145424 is about 11538.8658021488. The cubic root of 133145424 is about 510.6328476067.

Adding to 133145424 its reverse (424541331), we get a palindrome (557686755).

The spelling of 133145424 in words is "one hundred thirty-three million, one hundred forty-five thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 89 108 144 178 216 267 356 432 534 712 801 1068 1424 1602 2136 2403 3204 3463 4272 4806 6408 6926 9612 10389 12816 13852 19224 20778 27704 31167 38448 41556 55408 62334 83112 93501 124668 166224 187002 249336 308207 374004 498672 616414 748008 924621 1232828 1496016 1849242 2465656 2773863 3698484 4931312 5547726 7396968 8321589 11095452 14793936 16643178 22190904 33286356 44381808 66572712 133145424