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133144572 = 223111915281
BaseRepresentation
bin1111110111110…
…01111111111100
3100021112110000110
413323321333330
5233041111242
621113430020
73204465411
oct773717774
9307473013
10133144572
116917a540
123870b310
1321779b92
141397c108
15ba5039c
hex7ef9ffc

133144572 has 48 divisors (see below), whose sum is σ = 340752384. Its totient is φ = 40128000.

The previous prime is 133144567. The next prime is 133144577. The reversal of 133144572 is 275441331.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (133144567) and next prime (133144577).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133144577) 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, 22572 + ... + 27852.

It is an arithmetic number, because the mean of its divisors is an integer number (7099008).

Almost surely, 2133144572 is an apocalyptic number.

133144572 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 133144572, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170376192).

133144572 is an abundant number, since it is smaller than the sum of its proper divisors (207607812).

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

133144572 is a wasteful number, since it uses less digits than its factorization.

133144572 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5490 (or 5488 counting only the distinct ones).

The product of its digits is 10080, while the sum is 30.

The square root of 133144572 is about 11538.8288833833. The cubic root of 133144572 is about 510.6317584214.

The spelling of 133144572 in words is "one hundred thirty-three million, one hundred forty-four thousand, five hundred seventy-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 191 382 573 764 1146 2101 2292 4202 5281 6303 8404 10562 12606 15843 21124 25212 31686 58091 63372 116182 174273 232364 348546 697092 1008671 2017342 3026013 4034684 6052026 11095381 12104052 22190762 33286143 44381524 66572286 133144572