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133107352 = 23737227283
BaseRepresentation
bin1111110111100…
…00111010011000
3100021110112221221
413323300322120
5233033413402
621112541424
73204252040
oct773607230
9307415857
10133107352
1169154584
12386b1874
1321765c61
141396c720
15ba44337
hex7ef0e98

133107352 has 64 divisors (see below), whose sum is σ = 295269120. Its totient is φ = 55064448.

The previous prime is 133107343. The next prime is 133107353. The reversal of 133107352 is 253701331.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133107353) 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, 470203 + ... + 470485.

It is an arithmetic number, because the mean of its divisors is an integer number (4613580).

Almost surely, 2133107352 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 133107352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147634560).

133107352 is an abundant number, since it is smaller than the sum of its proper divisors (162161768).

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

133107352 is a wasteful number, since it uses less digits than its factorization.

133107352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 560 (or 556 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 25.

The square root of 133107352 is about 11537.2159553334. The cubic root of 133107352 is about 510.5841723401.

Adding to 133107352 its reverse (253701331), we get a palindrome (386808683).

The spelling of 133107352 in words is "one hundred thirty-three million, one hundred seven thousand, three hundred fifty-two".

Divisors: 1 2 4 7 8 14 28 37 56 74 148 227 259 283 296 454 518 566 908 1036 1132 1589 1816 1981 2072 2264 3178 3962 6356 7924 8399 10471 12712 15848 16798 20942 33596 41884 58793 64241 67192 73297 83768 117586 128482 146594 235172 256964 293188 449687 470344 513928 586376 899374 1798748 2376917 3597496 4753834 9507668 16638419 19015336 33276838 66553676 133107352